No, this would be a disaster. The acronyms have the advantage that they are, relatively, semantics-free., If we turned them into long hand, then they would describe the gene in some way. Which means that the descriptions in the knowledge would go out of date, or would have to be changed. It's a recipe for instability.
It is very easy to laugh at biologists and think that you know how to manage data better than they do. In some cases, you may be right, but in this case it is not so. Identifiers are there to identify and not describe. This is something we learned with Linneaus, and have stuck with since.