New Rule 4-48 and a Visiting Team Scorer at the Table

[Freddy]

Question arose today on a visiting team scorer at the table who had to be warned not to comment on the officials' calls and whether, given the phraseology of 4-34-2 ("Bench personnel are all individuals who are part of or affiliated with a team, including, but not limited to: substitutes, coaches, manager(s) and statistician(s)..."), this justified a 4-48 warning to the coach.
A discussion here from 2009 seemed to suggest a consensus that a visiting team scorer at the table isn't "bench personnel" in the 4-34-2 sense, but not exactly the same as the (2-1-2) "official timer and scorer" either. If removal is needed, it's not a technical situation, rather a game management issue to resolve upon the officials' request.
Putting all this together, is it correct that a warning to a visiting scorer at the table does not merit a 4-48 warning to the visiting coach?