Or, you can throw a (relatively standard for that kind of task) neural network at the problem, have a prototype at the end of the week and something solid by the end of the month.
In those conditions it makes sense to go with the neural network based solution (however, I do hope that having this result will push people to work on a more traditional approach that is competitive with the neural network based one).
See the sections about 'hillshade' at the OpenTopoMap "from scratch" instructions, at https://github.com/der-stefan/OpenTopoMap/blob/master/mapnik...
I don't think I understand your expression there: do you mean that "the problem of producing relief bitmaps from elevation data could lead to new achievements in our knowledge relevant to Neural Nets"? I am not sure why.
If you mean, more consistently with your original parent post, "lead to improvements in the past traditional techniques towards the same goal" - I would say that I don't see much space for leaping better results than those already possible.
Check Stefan "der-stefan" Erhardt's instructions to create your own OpenTopoMap service and map tiles from iron: you download elevation data and process them into shaded elevations - https://github.com/der-stefan/OpenTopoMap
They mention using DEM data only, no roads, villages etc.