>Wrt. neural networks I’ve only got as far as a list of the problems associated with trying to use them on 3D data.

Be careful about pontifications on neural networks. Neural Networks are non-linear adaptive approximators to any smooth function from R^n -----> R^m, I try to post the paper which does the math technicalities for this claim.

So many problems with NN are actually people's lack of education and ability and proper software dev acumen to deliver, so instead of saying "hey! I am inept to do NN" they claim troubles with the algorithm itself.

Any approximator or regressor has limitation otherwise it won't be an approximation, but bear in mind that people who write these papers are not always most competent.

There are also such people as CRACKPOT COMPUTER SCIENTISTS :) and lots of them