why do research when we have an expert like you to ask for advice?
this isnt a engineering forum dealing with complex matters.
as the number of gears increase in a transmission, so will the amount of shifting, unless it has the ability to skip gears , not sure if rams 8spd has that abilty or not. but anyways, a 8spd would shift 7times from a stop to high gear. 6spd shifts 5times. i hope we all understand that part? since the gear spacing is closer when you increase the total number of gears in the trans, it will shift up and down much more. some people mistake the frequent up/ down shifting for gear hunting. really the trans is just doing what its supposed to do and keep the engine in a more desirable point of the power curve, made possible by increasing the total number of gears and decreasing each gears gap spacing
how a transmission reacts to 37s from a electric or computer perspective is hard to say. im sure new transmissions rely on many inputs through the computer to tell the trans what to do. 37 tires throw off all those inputs
from a effective gear ratio perspective, its easy to see what 37s do to the trans. just find any gear calculator and put in the numbers