Well, possession is 9/10ths of the law, so I would imagine as they’d be in the process of collecting them, they’d have a good deal of say in how much to pass on.
As for troops, it was pretty clear from the hop that LF wouldn’t be the main force in subduing the Riverlands – hence why the Freys were given Riverrun, Darry, and (de facto if not de jure) Seagard. Mostly, LF was given the title to keep the Freys in check by denying them the Lord Paramouncy.