Those long "mountain bike" Kool-stops work fine on my modern skinny wheel road bike with side-pull calipers. If the modern Kool-stops fit (and don't see why not), I'm sure they will outperform those vintage looking ones - the contact area is much greater. I'd even bet the long contact patch results in less torque on the caliper arms, but I doubt it's an issue either way.
Those Kool-stops are nice, the mounting hardware allows fine adjustment of the plane of the brake surface. You're supposed to adjust them with a little toe-in (toe-out?) so the inevitable torque when applied flattens them out. That little bend on the tip of the red side helps with that adjustment.
Take the bike in and ask the bike shop, but my guess is they'll work fine on 60s era calipers/skinny wheels.