In any case, I don't see why you can't just ask if you can record the meeting.
In most such meetings, minutes are taken anyway. In fact, I would not surprise me if in most cases, the ER themselves record the meeting to protect themselves. So why not, as the EE, record the meeting? I am not saying do it without consent. Ask them and then do it, and if they get shirty, ask them what they have to hide.
I personally think Dolby was right to approach a labour lawyer, because knowledge of the law and your rights is hugely important. Yes, obviously the labour lawyer wants to make money, but I'm not so pessimistic as to believe he would recommend that Dolby do something that is against Dolby's interests purely so the lawyer can make a buck. Not everybody is so self centred and greedy. Dolby knowing what he can and cannot do is very helpful.
I mean, things like what you have to sign and what you do not have to sign. If he signs first and asks a labour lawyer later, he could get himself into huge k*k. By then he has already signed it and it is binding.