Latent heat and global circulation
Latent heat is released when water vapor turns to liquid\solid water.  So latent heat is released where there is precipitation.  So you're looking primarily at places where there is lots of moist convection... the ITCZ near the equator and then the midlatitudes.

I would believe that all of that latent heat release aloft should mean more heat is moved Poleward in the upper atmosphere branches of global circulation than would be moved by dry convection.  And would therefore make the circulation more efficient, perhaps having a long-term effect of allowing reduced horizontal wind magnitudes in comparison to a dry world (the resulting reduction in instability means weaker updrafts and the better transport Poleward means smaller temperature\pressure imbalances and thus less wind than a world without moisture).

Offhand I don't know the literature well... Google Scholar helps though you run into a lot of climate model parameterization articles using most terms.

The nature of the global circulation of the atmosphere should be fairly stalwart, as Lorenz was pretty big in the field I believe.  It talks about how latent heat in the tropics enhances the updraft winds in the ITCZ on page 17 a small bit.  The paper seems to suggest it would increase the global circulation strength by increasing those velocities.

Response of the Hadley Circulation to Convective Forcing in the ITCZ
looks like it might have potential too.

My most successful search term set seemed to be
"global circulation" "latent heat" -simulation -co2
though it still wasn't amazing.  But probably some other good articles to find if you thumb through them.

I'm certainly not a top expert in the field, but hope these thoughts and links add at least a little potential help or a starting point for you.