Proponents of symbolic learning should start by just achieving results that are even remotely close go those achieved with deep learning. Nevermind outperforming it. Because the reality is, for NLP and anything related to CV, deep learning has consistently wildly outperformed every other approach. Thousands of ai researchers have tried to make "old school" AI work for those problems with only very limited success.
Now my background is in CV (not in the field anymore, but was until 2019) so I'm not sure about how well other methods stack up against DL for other use cases. But to me symbolic approaches for most of what DL excels at just seem like a completely unfeasible (and overcomplicated) pipedream.
I don't disagree with the premise that current research has kind of stalled compared to the early-mid 2010s but that mostly means we need to figure out new ways to do ML and DL, not because DL has failed as a concept . & keep in mind that the fact we can even say that things have "stalled" is because we got spoiled by the huge performance leaps that DL made possible in the first place.
The symbolic AI crowd have always had a "2 more weeks" narrative where they promise that they will figure out a given problem very soon if only x condition was true. The problem is that they have almost always terribly underdelivered, and that was true even when 99% of the research and funding was focused on symbolic or hard AI. Subsymbolic approaches could also be argued to have yielded somewhat underwhelming results (vs the hype) but the other methods are in a league of their own.