I'm not really sure, but there are two pathways I can see the BTZ would alter image tone towards more cool/neutral hues:
1: Due to its developing inhibition effect, it may result in overall large silver grains; i.e. small grains aren't developed at all and development only proceeds if the grains are 'pushed over a bump' of minimal critical mass, in a way.
2: The benzotriazole may actually adhere to the silver grains, modifying their spectral absorption.
It seems that mostly #2 is the effect we're looking at here (although maybe if I read the quote below creatively, I can see a hint suggesting at #1 as well), as suggested in
this thesis that I just found online (pp2-3):
Perhaps of interest in this thread, here's the (film) developer that the author used for their experiments:
View attachment 396949
Interestingly, it's an MC developer (Metol-vitamin C).
The results of this particular research were disappointing for the present thread in that no human-visible color effect was observed, but this was about transmissive density (as opposed to reflective, which is what we'd be interested in here) and on a blue-based film (so any subtle changes were lost in the strong base color anyway).
The TL;DR is that I'd start by chucking a hefty dose of BTZ into the developer and accept that the paper gets reaaaalllly slooooooow (especially Fomatone, which is already quite slow to begin with). Toe shape will likely also be affected; this may or may not be considered as an advantage.