I think that the people who are complaining about the misuse of the term 'BLW' are focusing purely on the 'whole weaning experience' (baby's pov) or the 'whole weaning approach' (parent's pov), and the application/misapplication of 'babyled' to it, whereas the people who are talking about mixed experiences/approaches are much more focused on meals/courses/foods as 'units' of weaning experience. And at that level, it can make just as much sense to apply the term 'babyled', because an individual meal can be more or less babyled depending on whether or not a parent chooses to use a spoon, how the food is prepared, how it's presented, and so on.
Where the confusion comes in is that when someone is describing their personal approach to weaning, it could be taken either way. Aitch... and the others would, as I understand it, say only a weaning experience consisting 100% of babyled meals can have the expression 'babyled' used anywhere in its description. But meanwhile people who feel they have a free choice to make at the individual meal level are considering an approach that consists of some totally babyled meals/courses and some that are less so. So maybe what it comes down to is how we define the 'W' in 'BLW', or the word 'weaning'! If weaning means only the whole experience/approach, then you can't talk about a mixture of BLW and something else. If weaning means smaller scale food experiences too (meals/courses/foods), then you can.
I don't honestly see why it matters though. Surely it's simple to 'correct' people by saying "yes you could do a mixture of those methods for different meals, but you won't get the full benefits of the babyledness you are allowing, if it's incomplete"? After all, that's the point, isn't it? Surely rather than telling people that the problem with what they're doing is that they're claiming to be doing BLW when they're not, people could focus just on telling them why they think that's not going to be as great as making every meal 100% babyled?
Focusing on whether or not people are labelling themselves correctly, rather than on the underlying reason why the 'BLWers' are choosing a 100% approach, is bound to annoy people. It seems odd given that the point about the baby in that situation not reaping the full possible benefits of a completely babyled approach is presumably the important one, of the two.