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That doesn’t tell you a lot. You would have to take a bath with and without magnesium, and without knowing whether it’s with or without magnesium, and then write down the effect for each bath.

Currently, it could just be the effect of the bath itself or placebo.

An interesting paper on transdermal magnesium:

Myth or Reality—Transdermal Magnesium? https://pmc.ncbi.nlm.nih.gov/articles/PMC5579607/

The short story -- As of 2017 the jury is still out as to whether something like an Epsom salt bath may be beneficial because of the magnesium.

If his sleep felt different than usual then the results are probably meaningful.

You’re underestimating the effects of placebo.

If you took a bath in hot water, that has its own effects on the body, as it will lower your blood pressure, it can also relax your muscles, so you need to try it out without the magnesium to see if it did anything.

Do you know what it actually does and how it does it?