That is not true in my experience.
I don't think whether its DSP or Analog would affect the outcome either, unless its a low quality (DAC or analog) design masking information. I guess its certainly possible to hear no difference.
My preference is not to have a DAC in my speaker, as these designs change constantly. No matter the DAC loaded speaker, the entire package will be obsolete in a year as a new DAC arrives to market that replaces the previous one. Id prefer to use my own DAC and change that as I see fit. So analog inputs work for me in light of a sea of constant DAC upgrades.
Many pro customers have commented to me over the years that not all "active" speakers are very revealing of details. One can see significant engineering investment into the designers concept of what the "problem to solve" is. This is of course is fair enough, room acoustics are indeed a huge issue. High end DSP electronics mated to lower cost OEM drivers may be great at room correction and low on resolution. While the speaker sounds good in the room it may be poor at revealing the subtle information that many seek. To my customers way of thinking, this is not good enough. They want an all out effort in both electronics AND drivers. They will deal with the room as a separate acoustical problem but please please PLEASE make the most revealing speaker possible.
Brad .