That's no argument, for you can simply adjust the HQ to an optimal size, no matter what's the Bde TO&E.


The previous "less staffs" argument has its limits as well, for otherwise we could concentrate on one HQ for an entire army. Pointing out a factor that's pro larger Bdes alone doesn't make the case for a larger Bde, for there are many other reasons.
Among these other reasons are the advantages of smaller, more agile Bdes.

A large Bde can also be agile, of course - IF the really relevant level is the battalion level, IF battalion (battlegroups) are the real manoeuvring forces.
The HQ argument loses relevance in this case because the Bde/Div HQs could be really tiny then.