I mean, if you want to be this pedantic...

'the stars'

99.999...% of 'the stars' are not the Sun.

99.999...% of 'the Moon and the stars' are neither the Moon nor the Sun.

And... I know you didn't say meaningful.

I did. That's my counter argument to your ... hypothetical? argument.

Further, when I say 'negligible' I mean... not actually empirically observable, not statistically different from 0, thus you could not establish any kind of causal mechanism with any legitimate basis.

Sure, you could calculate a theory of the difference of overall gravitational effect of 'the stars', but its going to be again negligible compared to local gravitational variances of the Earth itself, due to the Earth not being perfectly uniformly spherical, nor perfectly radially uniformly dense.