It depends on how big or how wide you are swinging really. Too big of an arc will leave you open maybe too long and vulnerable to a strong counter straight right hand or even more vulnerable to your opponent's jab. Eating a stiff, strong jab from your opponent repeatedly or his straight right will probably not allow you to land that hook effectively or maybe even at all if you are not careful and too slow and too wide with it.
Your question does touch on an aspect of fighting that Bruce Lee and others including Manny Pacquiao also is a big proponent of that there is a lot of disagreement about. That is instead of fighting out of the more orthodox style of having your weak, less dominant hand the lead hand you have your more dominant, stronger hand as your lead. I think that idea of having your lead the more dominant hand has some value but I was not exposed to this early on in my training. While I could jab effectively with either and I favored the less dominant in front I would indeed sometimes switch to allow me to use that stronger more dominant hand more because it was then a fraction closer to my opponent since it was now my lead hand. I was just a little bit better defensively though the other way so that also played a role in all this and if or when I would switch and how strong and experienced my opponent was.
If you rely on any single technique, you become predictable. A "big left hook", presumably coming from your rear side, has to cover a lot of ground before it hits the opponent. What tools do you have to set it up? What follow-ups do you have if you miss? Are you as defensively sound as possible while executing the move?
I'll use an overhand left against taller opponents in an unmatched lead (orthodox stance) but I don't just sling it out there. I set it up by throwing crosses to the head and body, level-changing for takedowns, and using footwork or low lead round kicks to move the guy in the direction of the punch. I NEVER throw it without creating a movement pattern first that opens him up for that move. And I have follow-ups if I miss or he jams me.
Unless you have a way to land the strike without getting hit yourself, DON'T THROW IT. Otherwise you're open for a takedown or counter-strike.
Everyone, left or right handed, should develop both sides of the body equally.
That's from martial arts 101.
Ok well I'm southpaw left handed anyway was wondering if a big left hook is good for mma