I never did get the hang of what big satellites do regarding solar tides. I think what happens is that without the satellite, the star would be trying to slow the planet rotation down (and the planet would slow the star's rotation down very very slightly in the process). When a satellite is there, it's trying to slow the planet rotation down to equal the satellite orbital period - and it's slowing the planet rotation down faster than the star is slowing it down. So the planet-satellite system would probably get into equilibrium first, with the moon tidelocked to the planet, then the planet rotation tidelocked to the lunar orbital period (and the moon would be pushed outwards in the process). I think the stellar tides would serve to slow the rate that this happened over time.
When those are in equilibrium, the star would be able to start pulling more angular momentum out of the system, which would slow the planet rotation to match its orbital period around the star. In doing so, the moon would be pushed out even further (since it's locked to the planet and has to match the planet's slowing rotation), and eventually it would probably leave the stable part of the planet's Hill Sphere and become a separate body orbiting the star. At that point the star can slow down the planet without the satellite being there. I think?
So yes, I think it'd at least delay the tidelocking of the planet to the star
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