If "team" means "team technical," the ruling is correct, although somewhat ambiguous. If "team" means "team total," it's incorrect, because, as you point out, all technicals in NFHS apply to the team total.
The point of the case may simply be that the player in the game is still a player during the time-out for technical foul purposes, in which case, I'm reading too much into this.
Lots of time on my hands these days, with little better to do.
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