The problem is less clear in philosophy than mathematics, but it's still there. It's really easy on your own terms to come up with some idea that the collective intelligence has already revealed to be fatally flawed in some undeniable manner, or at the very least, has very powerful arguments against it that an individual may never consider. The ideas that have survived decades, centuries, and even millenia against the collective weight of humanity assaulting them are going to have a certain character that "something someone came up with last week" will lack.
(That said I am quite heterodox in one way, which is that I'm not a big believer in reading primary sources, at least routinely. Personally I think that a lot of the primary sources noticeably lack the refinement and polish added as humanity chews it over and processes it and I prefer mostly pulling from the result of the process, and not from the one person who happened to introduce a particular idea. Such a source may be interesting for other reasons, but not in my opinion for philosophy.)
I'm not sure if this counterpoint generalizes entirely to the original critique, since certainly LessWrongers aren't usually posting about or discussing math as if they've discovered it-- usually substantially more niche topics.
Like mathematical logic (in the intersection of math and philosophy) didn't have that many true predecessors and was developed very far by maybe only 5-10 individuals cumulatively, or information theory was basically established by Claude Shannon and maybe two other guys, or various aspects of convex optimization or Fourier analysis were only developed in the 80s or so, it stands to reason that the AI-related applications of various aspects of philosophy are ripe to be developed now. (By contrast, we don't see, as much, people on LW trying to redo linear algebra from the ground up, nor more "mature" aspects of philosophy.)
(If anything, I think it's more feasible than ever before, also, for a bunch of relative amateurs to non-professionally make real intellectual contributions, like noticeably moreso than 100 or even 20 years ago. That's what increasing the baseline levels of education/wealth/exposure to information was intended to achieve, on some level, isn't it?)
I come from a physics background. We used to (and still) have a ton of physicists who decide to dable in a new field, secure in their knowledge that they are smarter than the people doing it, and that anything worthwhile that has already been thought of they can just rederive ad hoc when needed (economists are the only other group that seems to have this tendency...) [1]. It turned out every time that the people who had spent decades working on, studying, discussing and debating the field in question had actually figured important shit out along the way. They might not have come with the mathematical toolbox that physicists had, and outside perspectives that challenge established thinking to prove itself again can be valuable, but when your goal is to actually understand what's happening in the real world, you can't ignore what's been done.
[1] There even is an xkcd about this:
Suppose a foot race. Choose two runners of equal aptitude and finite existence. Start one at mile 1 and one at mile 100. Who do you think will get farther?
Not to mention, engaging in human community and discourse is a big part of what it means to be human. Knowledge isn't personal or isolated, we build it together. The "first principles people" understand this to the extent that they have even built their own community of like minded explorers, problem is, a big part of this bond is their choice to be willfully ignorant of large swaths of human intellectual development. Not only is this stupid, it also is a great disservice to your forebears, who worked just as hard to come to their conclusions and who have been building up the edifice of science bit by bit. It's completely antithetical to the spirit of scientific endeavor.
Or because western culture reflects this theme continuously through all the culture and media you've immersed in since you were a child?
Also the idea is definitely not new to Descartes, you can find echoes of it going back to Plato, so your idea isn't wrong per se. But I think it underrates the effect to which our philosophical preconceptions are culturally constructed.
All serious works in philosophy (Kant especially) are subject to interpretation. Whole research programmes exist around the works of major philosophers, interpreting and building on their works.
One cannot really do justice to e.g. the Critique of Pure Reason by discussing it based on a high level summary of the “main ideas” contained in it. These works have had a major impact on the history of Western philosophy and were groundbreaking at the time (and still are).
I remember as a child coming to the same "if reality is a deception, at least I must exist to be deceived" conclusion that Descartes did, well before I had heard of Descartes. (I don't think this makes me special, it's just a natural conclusion anyone will reach if they ponder the subject). I think it's harmless for me to discuss that idea in public without someone saying "you need to read Descartes before you can talk about this".
I also find my personal ethics are stronly aligned with what Kant espoused. But most people I talk to are not academic philosophers and have not read Kant, so when I want to explain my morals, I am better off explaining the ideas themselves than talking about Kant, which would be a distraction anyway because I didn't learn them from Kant, we just arrived at the same conclusions. If I'm talking with a philosopher I can just say "I'm a Kantian" as shorthand, but that's really just jargon for people who already know what I'm talking about.
I also think that while it would be unusual for someone to (for example) write a guide to understanding relativity without once mentioning Einstein, it also wouldn't be a fundamental flaw.
(But I agree there's no certainly excuse for someone asserting that they're right because they're rational!)