I prefer a tight, accurate bass with texture (e.g., you can "hear the wood"). This is more a matter of the speaker rather than the amplifier, and I think that an accordion-edged woofer does a better job than a foam-edged woofer, regardless of size.
With respect to amplifiers, what most determines the "tightness" of the bass is the damping factor with the higher the factor, the more accurately the woofer follows the signal (i.e., is tighter).
"Damping factor (DF) in audio systems measures an amplifier's ability to control a speaker's movement after a signal stops. It's the ratio of the speaker's impedance to the total output impedance of the system (amplifier, cables, etc.). A high DF generally results in tighter, more controlled bass, while a low DF can lead to a softer, "flabby" bass sound."
When looking at woofer specifications, a higher BL factor would infer a tighter bass, assuming a similar impedance.
"In loudspeaker engineering, the BL factor, or motor force factor, represents the strength of the motor structure in a speaker driver. It's a critical Thiele/Small parameter (T/S parameter) that directly impacts a speaker's efficiency, sensitivity, and bass reproduction."