Effective Set up for a counterargument

Are there any extremely effective phrases that set up a counterargument well other than the standard "Skeptics may say" or anything of that nature? I feel like though phrases are heavily overused, but I can not think of any good phrases.

https://www.is34.org/pdfs/Examples_of_Argumentative_Language.PDF

Useful Argumentative Essay Words and Phrases

https://writingcenter.fas.harvard.edu/pages/counter-argument

The Turn Against

Counterargument in an essay has two stages: you turn against your argument to challenge it and then you turn back to re-affirm it. You first imagine a skeptical reader, or cite an actual source, who might resist your argument by pointing out:

a problem with your demonstration, e.g., that a different conclusion could be drawn from the same facts, a key assumption is unwarranted, a key term is used unfairly, certain evidence is ignored or played down; one or more disadvantages or practical drawbacks to what you propose; an alternative explanation or proposal that makes more sense.