Ok, I've had that exact same issue now myself as well. I honestly thought it was because the extra load on XBL with everybody being quarantined and all. Whatever online check-ins on the dash are being delayed by a few seconds. At least that's my baseless theory.
I don't know about the Switch version, but the X1/PS4 version was patched not that long ago to give the characters their flesh tone back. It does look noticeably better.