I don’t think that’s their point.
Their point is that all the hand wringing over privacy they use as the reason to prevent any kind of registration (whatever you think of it) seems very incongruous with giving away warranty information, which often they explicitly said they wouldn’t do, to whatever political cause they want.
It looks extremely hypocritical and in many cases violated a promise to the customers.
Yes the consequence of the government having a list instead of a lobbying group is very different.
The issue is the lobbying group shouldn’t have had it period.