Thanhky1985,
1. You replied to a thread from 2022.
Any high end speaker is capable of accurately expressing what it receives. Try an old amp that has not been rebuilt. You will find its sound very warm.
2. You've got that completely backwards.
An amplifier's job is to amplify the sound signal without making any changes (ignoring tone controls or EQ). Most amplifiers are capable of that unless overdriven into clipping/distortion. (The amp in your avatar may be an exception.

) With modern electronics it's cheap and easy to make good amp (depending on how much power you want).
Similarly, a speaker's job is to accurately convert electrical signals into sound. Speakers are not as good as amplifiers and you can almost always hear a difference between two speakers 9aor two different headphones).
Speakers are generally the weak link. The main characteristic of speaker sound quality/character is on-axis and off-axis frequency response. The speaker interacts with room acoustics so it will sound different in a different room.
Some tube amps have (relatively) high output impedance (often expressed as a low damping factor). Since speaker impedance is not flat across the frequency range, if the amp's output impedance isn't low compared to the speaker (if the damping factor is too low) those impedance variations are translated to frequency response variations. So the speaker won't perform as-specified or as-tested with a good amp. If that happens to create a bump in the bass range you could end-up with what you might call a warm* sound but it's an unpredictable and uncontrollable way of applying bass boost or other EQ.
* Sometimes "warm" means a mid-bass boost, which is how I used to use the word. But some people describe slight "pleasing'' distortion as "warmth" so now I try to avoid the word. (And I try to avoid the thousands of other non-scientific undefined or poorly defined "audiophile" words.)