I made comments earlier about active versus passive. On equalization vs not I have less listening experience. I have heard (but not extensively) Kii THREE + BXT (not Kii THREE alone) and D&D 8c both of which I though were good.
If you read the loudspeaker literature you will find that the human ear/brain system adapts to a room when it knows what it is listening to. There are certainly peaks and troughs in my room/loudspeaker response but experience suggests that with careful loudspeaker positioning "flat enough" exists for me without equalization. YMMV for sure and I am certain that equalization (either built-in to the loudspeaker or separate) would make getting there easier to achieve and in a more difficult room might well be essential.
Equalization is a very useful tool but I think, as with almost everything in loudspeaker design, it may come with a price. If you do any form of boost or cancellation I think you will always be using up some part of a drive unit's high-level dynamic range. Even if you just cut peaks the user will turn up the volume to compensate.
My experience is that the drive units in smallish domestic loudspeakers are typically marginal (or worse) on high SPL capability at low distortion. They can sound uneasy to me at even moderate average listening levels if peak levels go too high. Keith Howard wrote a HiFi News article about this a short while ago which very much mirrors my own experience. And reviews of some active and equalized domestic loudspeakers have shown concerning levels of distortion at low frequencies and very moderate listening levels.
So my view is that you have to insist on the best quality drivers if you apply equalization. And that applying equalization thoughtfully, in moderation to achieve good enough rather than completely flat, is the best approach to avoid taking away from clean peak loudness capability.