This is exactly what's often done. It's all about scale fundamentally. It's slow to grow crystals, they have to be very high quality single crystals, and they can't have even the slightest trace of impurities, and ideally they're going to be large and easy to process too. If an alternative substrate is also hard to grow at scale, it's not going to work. But I don't want it make it sound like it's just a scaling issue, because to my knowledge better substrates haven't been found even as a proof of concept. It's not just lattice parameters, but a whole host of other things too. But people are still looking :)
> People have tried zeolites in the past, but surprisingly a random speck of dust sometimes works better than the best designed substrate.
Hah, that sounds both incredibly frustrating and good fun!