Do or do not, there is no theory crafting.
And the tournament meta has picked "do not."
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Personally, I don't like blaster turret on Palob because most games those focus tokens directly translate into negated damage. It's rare to have him die with (m)any tokens left. And I think that having the TLT have a different range band from his ability is a *good* thing. It prevents someone sitting at R3 getting unanswered shots (and gives me an extra green die to spend those focus tokens on).
That's the thing that always bugged me about Mux and Palob (and to a lesser extent Kavil). If an opponent can keep them at range 3, they are completely ineffective.