Not at all. The tiles just consists of two layers. The main body and the dark layer on top. According to the electron microscope analysis, the two tiles were mostly the same.
I mean more, the size and shape of the ship, the size/shape/thickness of the tiles, the attachment method, the substrate material, the flight profile...
I'm not seeing where SpaceX could have achieved a major innovation here that solves the problems the Space Shuttle had with the heat shield. I think the latter used glue rather than pins, but probably not because the Space Shuttle people couldn't make pins. If it was that easy...
I guess one advantage of SpaceX compared to NASA is that the former are very trial and error based in their design, so they can iterate much more. NASA tends to design and plan everything in advance and only build it at the end. So when the Space Shuttle reusability didn't quite pan out, they couldn't easily change things up.
