Pai was appointed by Obama and confirmed by the Senate as a Republican under law limiting the number of members of one party to a bare majority and a long-standing, strong tradition that the President defer to the leadership of the other party in the Senate in appointing members filling the seats which must be filled by members not of the President's party. (Which Trump slow followed when renominating Democratic former commissioner Rosenworcel.) [0]
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...