In a well fitted precision fit, the bridle-less frizzen will work just fine. When the threads are sloppy, and the screw can wiggle in its hole, the hole can rapidly wear bigger, especially if the plate isn't casehardened.
However, most production locks today are pretty darned good. I've a huge increase in quality over the years.
As long as the initial fit-up is good, you should have no fears about a bridle-less frizzen.