Is it possible to have an accurate speaker

It's just semantics but "warm" describes a particular type of sound. If everything sounds that way, it is probably not as "accurate" as it might be since these two words infer a different nature of the sound.

But its all semantics, ie meanings of words. Not of much value outside of discussion.

The only practical way to assess relative sound of different things is to compare them to a reference. ALways have a reference sound in mind for comparison based on systems and/or live music you have heard, if you care about these things. OR just listen to what you have and enjoy it for what it is if you can. Its all good. Technically right does not assure a happy listener. Music is art, though the gear needed to play it at home is based on science.

Many underestimate the power and headroom needed for BEST not just good results.. One of the most basic and common snafus for all audio affectionados to address IMHO.

I went to a show last summer where I asked a vendor to play some Rush on their very nice high efficiency speakers being shown off playing small ensemble acoustic jazz quite nicely off a <10 watt flea powered SET amp. It was totally underwhelming and the vendor admitted that the amp was underpowered for the task. I could have been cruel and asked for some big band jazz, but.....

For most speakers out there, 80-120 SS watts might get you in the ballpark but more is needed usually to hit a homerun regularly.

Newer high quality high efficiency Class D amps are the ticket to get there without having to deal with huge, heavy, power sucking amps. That's progress! Take advantage of it!