The fact that Starship is unmanned probably helps expedite the change process quite a bit vs. the manned Space Shuttle. If you want to "just try something" the most you can lose is money, and not create a national political scandal.
I think the problem with shuttle was more fundamental. most of the tiles for Shuttle were custom cut to fit exactly one spot on one orbiter. I've read that NASA replaced about 75 tiles per mission, and that 2/3rds of the cost of refurbishing a shuttle after flight was the TPS. so the cost of trying something out was massive.