Blaming Obama for Pai being on the committee, rather than the Republican Party, is like blaming Elizabeth II for acts of the British Government rather than the parliamentary majority party.
OTOH, where no such legal or traditional constraint limited his choices, Trump selected Pai as FCC Chair, so blaming Trump for Pai’s current position and his reasonably direct endorsement of Pai’s long-overt goals for the FCC is appropriate.
[0] https://www.google.com/amp/s/arstechnica.com/tech-policy/201...
Any such appointee would not have been confirmed and thus would have been a waste of time.
He was appointed by Obama, but not as chairman -- and was a recommendation from McConnell.
Obama was pretty clearly pro net neutrality.