Annoyances have an effect beyond the time they take up: by definition they hang about taking a little bit of mental energy away from subsequent tasks.

yeah and humans short term memory is quite limited also automating away these small things reduces the risk of human error.

Trivial annoyances can be fixed by CBT (fixing your brain to not overeact), without needing to spend time fighting the world.

Ha. I've been trying to fix my brain with CBT to not overreact for...20? years now.

Sometimes it is just easier to fight the world.

I feel my drive to de-frustrate the world make me a better engineer/designer.

I agree, fixing and creating things is what we do. It makes us happier and better.

Another demotivating argument one might hear often is that building X, learning Y or using Z has no business value because there already exists something that you could do/use.

That argument makes sense if your primary concern is to solve a particular domain problem AKA you are a 'business person'. But a craftsman/engineer/designer etc. Your primary value comes from your skills and knowledge.