I feel it's really wrong to blame Gemma for 'stirring' Jacques into that state and ascribe some nefarious intention to it. He's often all for 'bants' and winding people up, and she - and anyone else - should be able to say things without that hair-trigger reaction. He's the one who's out of order and it's right that he's gone.
The idea that women should know a man will kick it off if you say xyz to them all plays into the toxic behaviour. It was a ridiculous bit of nothing to go OTT over, and very telling I think that he said wasn't even arsed if Adam and Paige were into each other and it was a much more idiotic male pride thing about lads not 'slagging him off behind his back', which is what they all do anyway. Even Luca found it very hard not to call Jacques immature when he was talking to Adam - because Jacques is bloody immature. Just as Luca is 'protective'. Ugh, the wounded male egos and the nuclear fall-out from such mild bruising of it.
I also disagree with any idea that Paige should have gone with him. Why should she? Wouldn't that condone his tantrum? She did absolutely the right thing in pulling back from him when he showed his dark side and really that should be the end of it for them. It'll take a hell of a lot more hard work than heartfelt pledges to tackle his issues, and the fact he wanted to 'get back to himself' suggests he'll probably revert to type back in his normal environment anyway.
It worries me a bit that he told Paige she could see other people in LI when he'd gone, but he didn't let the rest of the group know that, so they might be policing her. What's the point in her staying in if all she can do is wait till he picks her up from the airport? I think she shouldn't be guilted into some idea that they were this thwarted romantic couple and she should enjoy some time in there without him.