Yes and no. The intelligent move is to have Pash stomp on those takes like QuantumMechanic states. However, you don't follow that up with an unprecedented-in-league-history stripping of a 1st round draft pick, and a largest-in-league-history fine. You either 1) keep the tapes and use them as an explanation for the harshness of the penalty, or 2) destroy the tapes as part of an explanation for the reasonable penalty. By doing what he did, you have people on both sides saying,
"Goodell destroyed the tapes -- he's covering up for them, it was a huge thing the Patriots did, the league is trying to gloss it over to avoid their results looking stained, a 1st round pick isn't enough!!!!", or
"Goodell destroyed the tapes -- he's covering up for the other teams, these tapes show that this was a widespread practice, and he's using the Patriots as a whipping boy to have everyone respect his authority; the penalty is way over the top and Goodell's trying to hide any evidence of corruption or favoritism on his part!!!!"
Obviously I fall on the latter side. I'm not 100% sure it shows evidence of widespread practice. I do think they were destroyed because Belichick had just so many of them - the ESPN article from 2015 claimed it was ~70, and frankly I'm stunned it wasn't 155 (all the regular, preseason, and postseason games the Pats played to that point under BB). The sheer volume of the material is difficult for someone like Goodell to explain to Kraft's Other 31, so he destroyed it for that reason.