I think there might actually be some truth to this.
After all, when he got kicked out from the Continuum and wandered alone in space who did he go to?
When he got banished and had to chose any place and species in the entire universa what and whose ship did he choose?
There are also two comics, one where Q is all alone sitting on an ocean with a bottle of wine and full of self-pity and then he first comes across Picard which immediatly changes his mood
there is also another comic where q basically becomes the most powerful being in the universe and at the ned of the comic, still slightly glowing, he visits Picard who immediatly knocks him down a notch. So I think Q really was on a power high but needed someone to ground him.
There is also the theory that Tapestry happens after Qs short stay on DS9, so after Vash leaves him (even though he left her on a planet before that) and Sisko bruises more than just his ego.