Aren't airlines responsible for the well-being of everyone on a plane? That seems like it kind of goes with the territory of charging money for hurtling people across the sky in a giant metal box.
If you (as the airline) did what the rules where that everybody else follows and the FAA mandates and the baby dies you can argue you did everything correctly and the rules are at fault.
If you however go your own special, non-FAA-approved solution, typically the burden of proof that this special solution is at least up to par with existing certified standards is on you, the airline and if a baby dies it is on you alone to defend that solution.
Meaning from the standpoint of an airline there is not a lot to gain, but much to lose if they do things outside established standards.
This may sound idiotic, but it also prevents other "creative" solutions where airlines sacrifice safety willingly to spend less money.
Everyone loves to say this from the comfort of their arm chair somewhere in an ivory tower but literally every aviation and adjacent workplace has a phrase to the tune of "here we cut stupid corners, cutting smart ones is illegal"
Which is to say, the do-gooders in their infinite wisdom have blocked progress on various axis, some of them no-brainers, some of them the most reasonable ones, because once upon a time someone took it too far and something happened. So all investigation of where to save money, where to find improvement, etc, etc, happens on axis of optimization that are frequently absurd. This is where most of the "creative" solutions you deride come from.
It's easier to accept red tape once you follow "something happened" down to the idiots who "took it too far". Progress is blocked along the axes your fuckups have access to, end of story.
If you don't like red tape quit playing grab-ass around heavy machinery.
<sigh> This is exactly the sort of sneering smugness that makes people rightly hate the safety guy and you are a bad person for as long as you continue to engage in it.
And such bodies do exist, e.g. the ARAC (Aviation Rulemaking Advisory Committee) or specially formed ARCs (Aviation Rulemaking Committees). Whether they are capable of producing the desired innovation or if not, why, I can't tell.