Law was a chill dude in his introduction, Greenbull too... they aren't now are they?
It wouldn't be the first time that Oda changes these attitudes to the characters. And obviously Lola is canon, nobody says that, and surely they will even bring her back, who knows. But I don't see the relevance of her with this Loki. Besides, canonically she also already got married.
I think Oda had other plans and intentions with Loki back in WCI, and changed his mind about him.
A Loki who since childhood only caused chaos and destruction and was the shame of everyone, would not be out there looking for marriage with an army behind him.