Thing is that in real life people doesn't play GTO, in those sims a low FD need some backup to go all in, in real life almost nobody folds any FD specially at low SPR. Usually people fold way less to 3b than they should, so their range is wider on the flop. People would at least call 1 bet with any pair, and if you 3b often, any KK would seem them like the nuts on that board vs your range that doesn´t hit often on that flop (at least in my experience with bad players at PLO50 and PLO100).
Vs a nit open raise I guess he can go all in with this: 8%: (88,44,33,84,83,43,cc,567,(56,57,67,25):8,(56,57,67,25):4,(56,57,67,25):KK,(56,57,67,25):QQ)!AA and you have 50% equity. Thats any 2 pair+, wrap, FD, pair+SD, KK and QQ + SD The opponent has this range only 29% of the time, so you have a TON of fold equity.
Now lets assume that some players doesn't go all in if they don't have 2 pair+, and just call everything else, I mean he call with (cc,567,56,57,67,25)!(AA,88,44,33,84,83,34) and he has that 27% of the time and you can go all in on any turn that is not a club.
Vs a tighter all in range consisting only of 2 pair+, FD+pair, FD+SD, FD+KK or QQ you have 46% equity so even at an SPR of 5, you can go all in having the needed equity. He has that range only 18.6% of the time, so he is mostly folding and have some calls. Inside that all in range, he only has at least bottom 2 11% of the time, so more ofthen than not, you are going to be vs some kind of draw.
All that is assuming an 8% opening range without AA. Now, vs a wider range of $FI20 (20%), your equity vs that tight all in range (2 pair+, FD+pair, FD+SD, FD+KK or QQ) is 38% and he has that range 18% of the time, so your FE is still pretty high, and after making a cbet if your opponent goes all in, you can't fold with your 38% equity.
Some people is crazy and vs the wider all in range (88,44,33,84,83,43,cc,567,(56,57,67,25):8,(56,57,67,25):4,(56,57,67,25):KK,(56,57,67,25):QQ) you have 45% equity wich means at SPR 4.5 you can go all in.
People fold less vs 3b than they should, also many times go all in with hands that should fold or only call. Some players fold hands that should call. Some donk any 2 pair instead of making some checks, many doesn't donk with some draws that should bet/fold... So it's hard to know exactly what is best, it's very player dependent, but I think that betting AA at low SPR and fold on this type of boards is a leak in real world vs the real people pushing the buttons. Also I don't know how often we should cbet this board according to the sims, but having a TON of fold equity, in real play we should cbet a lot vs most players.