I would agree that the EVSE is a continuous load. If set to output 48A, it needs to be protected by a 60A breaker and wire to match, like you suggest. Code mentions conductors and breakers. However, the 14-50 plug & receptacle are rated for, and capable of, continuous load at 50A, so they are fine and that's why the EVSE manufacturers are providing them with their units. How is that wrong?
CD
Where are you getting the idea you can supply the 14-50 with a 60A breaker for the purposes of an EVSE? There are deratings for things like welders with a low power factor where you can use a shockingly small wire between a 50A breaker and a 14-50, and possibly even up-size the breaker to handle inrush currents, but I'm not aware of anything allowing you to use a 60A breaker with a plug-in EVSE, unless that plug is actually rated for 60A. And I'm also not aware of any pin & sleeve corded EVSE on the market (because I do actually work with some 60A plug-in equipment, but it's all pin & sleeve). Every 48A EVSE I've seen requires hard wiring.
There is another option though. You could seek out a 100% rated 50A breaker, if that's something made for your panel (unlikely). However, looking at the Leviton heavy duty 14-50R
made specifically for EVSE use spec sheet, I see a 60C rating, while the Hubbell HBL9450A is 75C rated, so it's not a huge surprise to me that LOTS of people are reporting Leviton 14-50Rs melting, and it's equally no surprise that at least
Tesla is so aware of the issue that they built a temperature sensor into their plug. So sure, it may be legal to stretch the code to it's limits with a 100% breaker, but this is one place where I don't think that's a good idea.
edit (one more thought):
Oh, and
at 60C, you're limited to a 55A ampacity on 6AWG, so that's a hard limit of 44A, NOT 48A, because you don't get to round up the ampacity, HOWEVER, if your wiring system allows for 75C (i.e. conduit and not NM), AND you use the 75C rated Hubbell connector (and not the Leviton), then you could theoretically use a 100% rated 50A breaker with a 14-50 plug-in EVSE set to 48A. But that's as far as you can push the envelope without hard wiring.