I get the bike reference. On a bike a more secure foot rest, polymer parts that take weight off the bike and other mechanical parts that actually move or have a moving function can effect the performance.
But how does a rail that does not move do that?
Fit and finish, and that it may or may not
actually move.
A better fit means it's more in alignment, and won't make otherwise perfect rings apply a sideways pressure on the scope.
On the bottom side, let's say a ring is made to fit a rifle with a 1" diameter receiver. Brand A could keep a tolerance of +0.0/-0.002. Not uncommon for modern, quality CNC machining. The + means that the radius will be no more than 1", and the minus that it could be 0.998". This will have a ring that either fits perfectly, or contacts at two points--and possibly force-fits--and is thus stable.
Brand B may run a tolerance of +0.003/-0.005. A 0.995" will
probably work just fine, but a mount that contacts at just the edges is more likely to bend in one direction more than the other, and a 1.003" ring will contact only on a line down the center and would allow the scope to rock slightly under pressure.
Aside from that, 7075 aluminum isn't likely to flex under any normal circumstance. Neither is 6061, but it won't be as tough. 2021, on the other hand, is sometimes used by cheaper companies because it's easier to machine, but it's much softer than many other alloys. This means it will scratch easier, screw holes are more likely to strip, and it's likely to flex when you fire.
TL;DR version: it's not that scope mounts don't move, it's that they're not
supposed to, and better ones keep it that way.