Conclusion: Narrow bandwidth corrective EQ would be better served with a conventional minimum phase filter.
The Linear Phase filter would be well suited for medium or wide bandwidth corrections.
 
The settings used in my example were extreme and not real-world settings. These settings were used to make the pre-ring more visible. 
 
I wonder if the pre-ring could be used as a special effect on guitar? (see edit below, works on bass drum. Not good for guitar)
Put the EQ on a sub. Set the Q=40 so it rings.
Put a gate after the EQ and send the guitar to the sidechain input of the gate.
Set the gate for Ducking mode so that the EQ output is gated off when the guitar plays,  but on during the pre-ring.
I think it would have a mechanical monotone reverse effect sound. The reverse sound would be the frequency that the EQ is set to. You could adjust the frequency so it fits the song.
 
Edit:
I just tried this crazy idea. It works on Bass drum. You have to set the EQ to a bandpass filter so that only the ring comes through. It acts like an oscillator that quickly ramps up in volume right before the bass drum hits, sort-of like a backward recording. Might be good for EDM type music. The latency increases to several seconds with the LP filter doing all that pre-ringing!
It would be best to get the sound set up then record it to a aux then delete the EQ to get rid of the extra latency. 
 
 
 

50 ms! That surprises me. That's 3 full cycles at 60Hz.
 
Although not a concern within the OP's initial question, where the Q is probably more like 0.2 to 0.3, it's still a valid issue when cutting out subsonics at the master with a steep slope, a common practice. 
 
Note that FabFilter, in the Pro-Q documentation, expressly advises against using Pro-Q in Linear Phase mode with high Q settings. 
 
Apologies to SilverBlueMedallion for drifting off topic, but that's how nerds are. To quote Dr. Sheldon Cooper, "now I'm thinking about trains!".