My stupid, exploitable human guesses:

KK is just a value bet on the thin-ish side. Nothing too interesting there imo.

AKJ8r has more equity than you might expect, and betting can get a lot of healthy-equity combos from BB to fold on this board where I assume we have a lot more Txxx and JJ+ (which a lot of BB combos are not in good shape against). J8xx also blocks some Txxx BB VPIPs, which I've found to be slightly more relevant than you might expect (don't overweight this kind of thing though).

A966 (BDFD?) doesn't block anything important and may have too much (though, in absolute terms: not much) equity to risk being raised by a balanced XR range. Having 66 gives a modicum of showdown value (A/9 side cards can improve our SDV too) as well as the ability to improve to an underfull. Plus, if we're betting with SDV as wide as 66 we're probably just betting exploitably often and we'll get punished by XRs.

Q865 at 76% is probably just mixing in some low-equity air for balance and broad equity denial. It has backdoor straight possibilities (does the DS combo you're looking at have a BDFD?), which is a reasonable bluffing candidate OTF (especially with a BDFD).

Hi devwil

Thanks for taking the time out to respond - much appreciated.

I will have a think about your observations and revert. There is a lot there to digest!