Most instructing work is at weekends, because most people who want to fly for fun, tend to have time off at weekends and not during the week. Similarly the summer tends to show better weather, and people are more inclined to take time off, so the same applies.
I do some part time instruction at the weekends, and I've certainly in Canada met people who do something similar.
However, I think that you need to bear in mind that the first and most important thing is to become a good pilot. Once you've done that, you can think about becoming an instructor. That will take a few years and at Canadian prices, probably budget around CA$30-40,000 over 3 years to get that far.
My recommendation is that you go and learn to fly first. It'll take some money and dedication - but you'll learn if you really have the passion for flying that you think you do. From there, start to think of how to build up the experience that'll make you, eventually, a good weekend instructor.
Regarding transferrable skills; they do transfer, but I'd say (I have been a university lecturer, and took that background to my training as a flying instructor), you'll find the specific skills as a flying instructor whilst complementary, quite different to those of a classroom teacher. In the cockpit, it's much more about demonstration and continuous feedback, and clearly 1:1, not 1:30.
Some (not all) flying clubs may also welcome somebody who enjoys classroom teaching, for the various groundschool subjects but clearly you need a good grounding in them yourselves first. In most countries that means having passed both the private and commercial exams to be able to teach to private level - I'm pretty certain that Canada is no exception to that.