As an owner of Tannoy Berkeley's I would tend to prefer high efficiency speakers.
In fact all of my previous speakers have tended to have been of reasonable high efficiency (>89dB). All except the Quad 57s which I could not get the best out of, but that may have been an impedance issue.
However, there must be a trade off between efficiency and accuracy, or else why would anyone bother with crossovers?
Then there's also the question of damping.
Heavier cone materials tend to be better damped than lighter ones, but it's arguable whether they are more accurate, especially if they are dynamically challenged in comparison.
Newer materials like carbon fibre seem to promise both better efficiency and damping but not everyone is convinced. Then there's stuff like graphene which may yet be better than any we have seen so far, but there's little sign of true graphene coned drivers yet.
As ever, it's a question of trade-offs and preferences.
Just which kind of accuracy would sir prefer?