Do you have a reference for the Grizzl-E being available with Tesla connectors? I checked their Web page and couldn't find anything about this. The closest was that their holster was available in both J1772 and Tesla variants, presumably so that you could holster their J1772 plug when it's mated to Tesla's J1772-to-Tesla adapter. In fact, the selector for this holster option explicitly states that "Tesla Vehicles require the use of a Tesla to J1772 adapter." I'd love to be mistaken about this, but it looks like they sell only J1772 EVSEs.
That said, IMHO a J1772 EVSE is fine for use with a Tesla. I use one myself. (I bought it when I drove a Chevy Volt.) I have a J1772 adapter "permanently" attached. (It's not glued in place or anything; I just never remove it.)