Rebuttal of 'Note on "Vacuum stability of a general scalar potential of a few fields"'

We show that the recent ‘Note on “Vacuum stability of a general scalar potential of a few fields”’ [arXiv:2401.13863] erroneously misses the possibility that the Higgs portal term may have a different sign for different values of the two singlet fields. Due to this mistake, the derived vacuum stability conditions are sufficient, but not necessary.