Didn't you read his statement? "the people who are fighting to have the laws changed to ONLY allow responsible gun owners to possess firearms"... I have absolutely no doubt that he (and those like him) want to dictate what constitutes "responsible". Given his way, background checks will focus on how the applicant has voted in the past, what political party the applicant belongs to, and will include a thorough evaluation of the applicant's views on topics such as abortion, animal rights, the environment, how best to further enable the sick, lame, and lazy, and will specifically demand that the applicant surrender the firearm to a would be robber instead of center punching the oxygen thief.
On a side note, thank you and stay safe.