damping factor

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no, maybe,, it is more complicated than that.

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Actually, what happens is when the amp sends a signal to the driver it energizes the voice coil and causes the cone to move. When the signal stops, the woofer cone keeps moving by inertia (the amplifier cannot stop the moving mass). This causes the voice coil to move back through the magnet inducing an emf onto the voice coil. Ideally, the amplifier is to present a short to the speaker (via zero or very very low output impedance). If the amp has a high output impedance, it presents a load to the back emf, and by adding speaker cable capacitance into the mix, it causes resonance. It is this reflected, or oscillating, voltage that "looses control" over the driver. The higher the damping factor, the lower this effect. Does it mean better bass punch? All depends how you define "better".

But, particularly in the case of very efficient drivers, there is the issue of overdamping. Too much control over the driver can lead to a bass response that is less natural and not as deep as it otherwise could be. My Aleph 30 amp was great except that it was overdamped, causing an unsatisfactory bass response. I have since gotten an Atma-sphere amp with a lower damping factor that works much better with my speakers. As always, synergy with speakers is the key.