The fact that experiments have proven relativity had to be gratifying to Einstein (though I'm sure he wasn't surprised.) My favorite was the bending of a distant star's light by the gravity (or warping of time/space) by the sun. That took some effort back in the day as total solar eclipses don't happen every day and typically not in convenient places either. IIRC virtually all of Einsteins predictions have been proven. So, it's real even if it doesn't make a lot of sense.
Then again, I still recall learning that the world was round! My older sister told me about it, and of course, I didn't believe her. I might have been 5. Anyway, I talked to this guy who did some carpentry work for my dad. The guy was able to draw me a picture of the world and show how the sun changed position as the world turned. To prove it, he placed a wood chip (maybe a match) on a shadow and had me watch it as the shadow slowly moved away from the piece of wood. It was mind expanding.
As Neil DeGrasse Tyson famously says: "The Universe is under no obligation to make sense to you." Scientific geniuses are geniuses at least in part because they observe and draw conclusions based on their deductions, rather than what might make sense. Einstein's determination that matter cannot move faster than light was based solely on math, not computers or Star Trek movies. And let's not forget Eratosthenes who used math to come to a very accurate measurement of Earth's size, a couple of hundred years B.C.