Actually to make wheel removal easier was one of the minor reasons I had to get a wider-rimmed wheelset. Obviously for example, if your rim width is the same as, or a just slightly narrower than your inflated tire width, then the brakes after being adjusted to fit the rim width once you've flipped the release lever, don't have an issue clearing the tire. In my case I went from 20mm rims to 24mm rims which made all the difference. That said, I know neither the max rim width the stock Tektros can accommodate, nor what the current rim width is of the OP's S-R3 rims.