Well, I use a sweep only when I want forward momentum -- it has its place, as does a draw or a pry, which strokes are more effective for turning the farther you are from the center of the canoe (though concomitantly less effective for pure lateral movement). Sometimes I even use a backing stroke while turning. I've even been known to stand up (gasp!) in the canoe, the better to see what's ahead. Depends on what's going on.
The leverage advantage from a long (shaft/blade) paddle is gained, of course, at some expense -- heavier weight, and less nimble handling.
My chief problem with Canadian Style or free style paddling is the continuous kneeling -- my knees can take it, but the rest of my joints can't, at least for any extended period of time. I am in awe of those who have mastered free or Canadian style, and appreciate the control that can be had. Indeed, I have been known to move into the middle of the canoe on my knees from time to time, but it is not my preference. And when in the middle of a lake when a high wind raises a good chop, I usually like having equal freeboard on either side of the canoe. As they say, different strokes for different folks.
As for paddle length, my usual paddle is a northwoods style, with a shaft length that varies between 26" and 36" depending on where I grip the long grip with my upper hand; the blade is about 30".
It's just a little silly to say than the only length that matter is shaft length. Just as blade width can matter, so can blade length. My wife, who usually paddles avant, almost never paddles solo, and is several inches shorter than I am, happily uses a paddle with a 22" long blade.
I would be happy to meet you at assembly -- I will generally be around except when sequestered at the Board meeting, and you can't miss our canoe (see avatar). I expect to be at Becky Mason's demonstration -- and I'm always happy to learn more about different ways to paddle.