If you're going to argue semantics, then at least start with some definitions for the words you're arguing about. Your definition of perception as just the sensory input and interpretation as a conclusion based on this perception is not the only way or even the common way to use the words in this context.
For example:
https://courses.lumenlearning.com/boundless-psychology/chapt...
> Perception refers to the set of processes we use to make sense of the different stimuli we’re presented with. Our perceptions are based on how we interpret different sensations.
and
> Perception: The organization, identification, and interpretation of sensory information
> The scientific method has been used very reliably and predictably to solve very big problems.
When you say 'very reliably and predictably' what does that actually mean? What does 'very' mean? Do we have a way of objectively measuring these things?
> But in society we have decided to arrive at similar interpretations to many things so that we can function.
'Decided to arrive at' and 'arrived at' are not the same thing and also depend on your 'interpretation' of society. An electron doesn't decide to behave similarly to other electrons even if it does so, for example.
You can’t just go around changing words all willy nilly. Language is a group effort and different words have different meanings.
> Interpretation can be thought of as part of perception or vice versa depending how you look at it.
Nope. Interpretations are based on perceptions. We’re talking about perception in the physical sense. Like seeing, smelling, etc. I can’t teach you how to perceive any more than I can make a blind man see. But when you perceive what I perceive to be a red light, we can both interpret it to mean “stop”. In this country, if you want a drivers’ license you better adopt that interpretation.
> Nothing is truly repeatable because we don't have the ability to perform truly controlled experiments
The scientific method has been used very reliably and predictably to solve very big problems. It’s all based upon repeatable observations. And you’re right, we’re never 100% certain about everything, that’s why the body of work continues to improve over time.
> If you define interpretation as some stage of perception/observation that humans agree on
I said that interpretations can be agreed upon by individuals. You can also have your own interpretations that nobody else agrees with. I’m pretty sure Tarzan has his own interpretations of his perceptions. But in society we have decided to arrive at similar interpretations to many things so that we can function. You know? to prevent people with drivers licenses from obliviously running red lights and crashing into you and breaking every bone in your body, etc.