Let’s dispense with the whole notion that Bork was, to use your term, lynched and put aside what that practice actually entails. He was considered by the U.S. Senate. They held hearings. They held an up or down vote and he lost with 58 senators opposing the nomination including six Republicans. The rest of his 25 years were spent as a judge, professor, author, and fellow.
Grassley and his GOP colleagues are now saying they refuse to even consider a nominee, sight unseen. It’s well beyond the rejection of Bork in 1987 or Abe Fortas in 1968. You are right there is no constitutional duty to approve a nominee, but advice and consent naturally implies due consideration and not irrational silence.