Your statement would make sense if amended to read...
My request is consistent with the requirements of Popper's (or whoever's) philosophy of science; in that respect, it is certainly not "odd"
Popper's (or Feyerabend's or Kuhn's or whoever's) opinions on the philosophy of science are not synonymous with "science" or "the scientific method". You'll be less confused if you draw this distinction.
I am asking metmom to show that the claim is meaningful by presenting a hypothetical example that, if observed, would show the claim to be false.
Can't you understand the meaning of it by reading it?