We have to put things into perspective. A woofer with a 4Ohms Voice Coil DC resistance will see at least those 4Ohms as its termination resistance, governing electromechanical damping. On top of that is the series resistance of the crossover and the amplifier output resistance + cabling. Adding 0.2Ohms of wire resistance is a negligible change of only 5% damping resistance increase worst-case (and the voice coil itself will vary more just alone from self-heating). This does not change damping in any significant way, it is inaudible. Insert ten Ohms and then we're talking...
But there is a linked effect... and that's a change of frequency response, and that may be audible when it is larger than certain thresholds.
The key point here is that time-domain response and frequency-domain response are 100% intertwined as they are two possible forms of representation of the same thing, the transfer function. Which means here that when you re-establish the original flat frequency response at the speaker terminals by means of EQ, then the time-domain behavior is also the same as before, regardless of even about 1Ohm of added damping resistance.
You really have to go to extremes of electrical series resistance (10Ohms) for second order effect to appear which actually change behavior even though frequency and time response match the original case.