Not to me. So long as it's consistently applied, it actually seems like the responsible thing to do when something completely innocuous posted on Twitter could cause damage to the company.
To me it's similar to scheduled stock selling for CEOs, which gets rid of any doubt for whether there's insider trading.
Just not good enough for me given the circumstances; maybe he should delete them after he resolves them or follows up, especially if he says he’s going to look into it and never does. That’s worse than not responding on Twitter at all IMO — and then the tweets were deleted too. The optics here are just horrible.
To me it's similar to scheduled stock selling for CEOs, which gets rid of any doubt for whether there's insider trading.