This question was inspired by a different question on this site which asked by what grade times tables had to be learned. The consensus seemed to be that it is essential that you learn basic times tables for single digit numbers.
I'm asking mainly because I'm in my mid thirties and still don't really feel like I remember my times tables and often spend some amount of time even deciding what 6*4 or 8*4 is, never mind things like 7*8 or 7*6. In many cases I end up either performing some arithmetic trick (6*4=2*12=24, 8*4=10*4-2*4=32) or just add/subtract from a known value (7*6=6*6+6=42, 8*7=8*8-8).
Having said that I hold two Masters in mathematics (one in abstract algebra and one in set theory) from different universities and I have never had any issues with dealing with fractions, algebraic manipulation or similar. My arithmetic tends to be slow, but that seems to rarely be an issue.
To further elaborate on the question and make it more distinct from the possible duplicate. Is there any actual research that causally connects not learning multiplication tables by rote with having problems with further abstract mathematics? Any such research would obviously have to eliminate the possibility that the students that haven't learned multiplication tables by rote are also in general less suited for further mathematical education (that is there isn't some underlying cause of both and instead there is a causal link).
Edit: I'm not sure that the question suggested as duplicate isn't a duplicate but the answers to that question are in my opinion unsubstantiated and incomplete. The only answer substantiated by anything other than "this is what I think/from my experience" just cites a paper which doesn't even answer the question at all. Though that paper cites many papers that might answer the question that seems a bit of a long stretch.