I own HPM-100s, and they CAN sound pretty good, as mass-market speakers go. In fact, I've never heard them sound like separate drivers fighting a war over a box, etc... When I read something like that, I have to wonder what gear was driving them, what room they were in, or where the problem was, because my hearing is measurably excellent, I've heard many, many speakers, and I really haven't heard my HPMs sound THAT bad, even with some added imagination and effort to hear the flaws that people describe (but I have heard other speakers that might fit that description).
I wonder sometimes if these speakers aren't prone to some strange anti-synergies (oscillations?) or interactions that make them sound horrid in one application and good in another --?
I can't find any other explanation for the extreme divisiveness of opinion that they seem to provoke. Surely listening preferences alone cannot fully explain the extreme dichotomy of opinions on these?
I think they are not outstanding at all, but still are very decent, pretty good speakers. BUT they have their weaknesses, mainly a weakness in realistic soundstage placement and depth, something I value in speakers. But they are not BAD speakers, certainly not worth burning. They make decent speakers for television, in particular.
I'd even go so far as to say that they are better than most speakers out there, but worse than most of the good "audiophile" speakers. If you are into high-quality two-channel hi-fi, you can do better. But if you are looking for pleasant enough speakers for a garage system, or for television (sound effects), etc... they really aren't bad.
Perhaps rather than criticizing them, I could suggest some speakers that you could try to listen to, that (IMO) sound noticeably better. Someone used to listening to much better speakers will naturally find the HPMs somewhat lacking, in comparison. Try to find a chance to listen to one of these:
Most early/vintage Infinities (ones with EMIT tweeters)
Vintage ESS speakers with the big Heil AMTs
Dalhquist DQ-10s (or 12s or 20s)
DCM Timewindows or Timeframes (most models)
Some JBLs
Magnaplanars
Acoustats
MBLs
Magicos
Avant Garde horns
Some Altecs
Some EVs
Some Wilson/Watts
Many studio monitors (Yamaha NS-1000 series, Genelecs, Westlakes, etc...)
...those just off the top of my head. There are many more!