As a cyclist, you never want to come up on the inside of a car. (I.e. on his right.)People making right turns and not checking their blind spot.
I ride my bike every day and am nearly hit at least once a week.
The car is in the lane, you stay behind him. That's the law.
There was a woman killed on Sterling and Dundas a few years back and that was exactly what she did. There was a truck turning right from the curb lane of southbound Sterling onto westbound Dundas and she figured she could come along side of him as if because she was on a bike it was ok. It's not ok. She was killed and it was ruled her fault.
Cyclists need to obey the rules of the road and what you just described has nothing to do with checking blindspots and everything to do with the cyclist thinking that it's ok to come along side a car turning right. Think of it as if you were in a car behind the guy turning right. You can't pass that car on the right. You stay behind him till he's completed his turn.