There is a product called Richlite which is essentially the process you mentioned. It starts with dyed paper pulp that is saturated with resin and then compress

There is a product called Richlite which is essentially the process you mentioned. It starts with dyed paper pulp that is saturated with resin and then compressed with pressure during curing. The appearance is not very wood-like but very "modern" and it is a very expensive material to purchase panels. It is very heavy and a monolithic material approximately 1" thick. The more common industrial process is material called "high pressure laminate" which is your standard countertop laminate material that's only 1-2mm thick and is glued to a cheaper wood substrate.