While I don't believe they consciously sat down and actually planned to capitalise on the success of FV and then HIMBG, I completely agree that those solo successes gave the band some extra momentum due to the "Oh that's that band with him in" factor. But I tend to look at what happened before FV and Abacab. Certainly in the UK anyway, they'd had a steady series of top 10 albums then their first top 10 single with FYFM. Then came their first number 1 album in the UK with Duke, a second UK top 10 hit single with TIOA and a sizeable US single hit with Misunderstanding. This is all pre-FV and on the basis of those growing successes, I think the strategy was already in place to build on that with pushing harder through more touring and multiple single releases. PC's success helped them along with that.
Do you mean that on the 3SL tour they played arenas in the US for the first time? They'd been playing those sorts of venues in Europe for a few years before that.
Anyway, sorry, off-topic - cwah, that Supper's Ready's a bit overrated isn't it?