I have heard many speakers that where ''full range'' but never delivered the goods. There are some that do deliver of course, and I was privilidged to own such a pair, but the price was ''way, way up there'', and I just couldn't stay with them as other priorities came up.
I have also have heard (and owned) monitors and floor-standing speakers that where not even close to full range, but were magical in some part of the audio spectrum that made it worthwhile.
Audio is a land of compromise. I would choose a speaker that did not provide me with the last iota of low end if everything else is sublime, as quality, truly full-range speakers are costly - unless you have a mega-dollar budget to spend.
Just my two cent's worth !