Comparing-
AKR and "town"...a very close cab ride to West End. TBR is remote, 35 minute cab to drink alcohol in West End.
AKR has way more steps up to dining facility 68 IIRC, 3x a day. Don't know if TBR offers golf cart to docks. No gear carrying at either.
AKR and TBR use radically different boats, equal in comfort. AKR is in-house, TBR uses Subway, also equal quality.
AKR still fits into the "dive resort" category, TBR is a resort that offers diving. You can get more BT, easier, at AKR.
AKR is filled with divers. TBR can be packed with non-divers especially around Semana Santa who are there to party like 1999, other times very quiet, but still not a high percentage of divers. More families on beach vacation. AKR itself is very quiet at night.
TBR can not offer shore diving due to location, the shore dive listed by AKR is at best, theoretical.., anyone who does it once, I'll buy you a beer. Twice? A Monkey-LaLa. So I call that a draw.
Food has proven to be much more consistent at AKR.
The real estate, terrain, views, and general setting, radically different, but both quite lovely.
Although volume of cruise ship day visitors is much higher at AKR, you really won't be intermixed. Volume is minimal at TBR (due to remoteness from cruise port, marketing, and lack of dolphin show)
AKR has the dolphin show, but anyone on island can pay to go. Staying there does not mean any access beyond an outsider.
Both AKR and Subway can move their dive ops to South side when the weather closes down the North.
Purely Subjective observation:
I like AKR's very consistent product as a resort (food, room style, quiet, repair, facilities) over TBR.
I give dive ops (AKR and Subway) an equal rating for quality and service. You can get one, possibly two (if you hustle) more at AKR.
I'm a diver, paying $1k for airfare is high motivation for me to dive as much as I can. I pick AKR.
Whichever you select, go someplace else next go round. Just because they may take you to the Southside, you'll not have seen much of that. For being such a small island, it sure is a big place.