Too much chatter from ATC, when crew are probably pretty busy. Why offer a 'change to Approach or stay with me as you like' from the Tower; if they can stay with the Tower, keep quiet.
I don't see the problem here. As long as the radio frequency is on, there will be lots of chatter. It's up to the crew to tune it in or tune it out so to speak.
I've heard similar and in some cases the crew simply didn't respond as they worked their side of the problem.
To my knowledge the tower didn't demand a response from the crew in this case, until the crew were ready and willing to engage the frequency.