Let's cut the chase. You make decisions on your own. I'm just saying the reason you choose is not convincing enough from my perspective. Imagine you tell a girl/boy the reason you choose her/him is that the other girl/boy didn't choose you at the first place...your reason is just like that to me. If I think that, the processing officer may think so as well. It would be better if you can give stronger reasons, for example, you have a job offer, a job arrangement somewhere else, or you're buying a property in another province,... (you have to submit these documents along with the letter of explanation). Even with those strong reasons, approval is not guaranteed.
Now you know the issues may occur when you submit an application through EE while you stay in Quebec, you make your own decision.