[minimaxir]

Yes, this is correct.

I just realized I misread the GP's comment: thought it said "P-value" in general instead of "P-value of Pearson correlation," as a result I thought he was referring to a regression P-value.

[andreasvc]

As far as I understand the p-value of a Pearson correlation is exactly the same as the p-value of a simple linear regression.

[cwyers]

You understand correctly. I have no idea what he's even trying to say now.