Sorry - amplifier DF plays very little role in the response of a mechanical driver. The method of calculating DF (driver impedance/amp output impedance) has been debunked many times as a reliable statistic in determining the effectiveness of an amplifier to 'control cone movement'. There is almost no difference between a DF of 20 up to Infinity as far as the entire system is concerned (cable resistance, internal impedance, variable frequency impedance, imaginary resistance, etc).
http://linea-research.co.uk/wp-content/uploads/LR Download Assets/Tech Docs/Damping factor debunked -01a.pdf
https://en.wikipedia.org/wiki/Damping_factor
It's also easy to 'fudge' an amp's rated damping factor with negative feedback, which can make the output impedance look vanishingly small, but in real world applications can cause significant distortions and non-linearities.
Furthermore, it's typically desirable to drive a loudspeaker with a system that looks more like a current source (high output impedance) since the motor driver of a loudspeaker is an inductor, which responds well to current, not voltage - ergo 'the tube sound'.
All this should help indicate how complex the relationship between amplifier and speaker really is. There just isn't any specs that will break it down so you know what amps should drive certain speakers. There's a general idea, but in no way can one simply rely on such things as 'high DF' to determine if a certain amplifier can effectively drive a certain configuration, or that by adjusting the DF somehow you can you expect a better response.