Your experience is the opposite of my experience. The big JBL speakers (and the older Altecs), the Legacy Whispers and the old Hartley Concertmasters took very little power to reach
very loud levels.
However, there is a kicker that might explain your statement. Other than the Hartleys, I heard all these in LARGE rooms. That meant that the listeners sat much further away from the speakers than they would have in smaller rooms, and SPLs therefore declined at what I assume to have been 6dB/octave.
A 6dB SPL difference is a
quadruple electrical power difference. That might be the source of your impressions.
Jim