This can be like opening a can of worms, but after having to use a clamp to insert the master link plate, and have a hard time inserting the clip on the grooves, I can't see any reason why a rivet link is safer than a clip link. If the plates and rollers are the same, riveting is just a way of making sure the plate won't come off, the same job performed by the clip. If there is no side thrust, both of them should work just fine. But the clip is way easier to install and remove.
Bryan gave good advice: maybe different manufacturers have different clips, while the pitch remains the same according to standard.