Better never run DJ monitors through a digital board and/or a digital speaker processor then.
The difference between 2 tracks becomes pretty noticeable at about 10ms spacing.
The human brain is an amazing thing and I can only assume automagically corrects for artists up to 10ms or so. Beyond that I have experience complaints from major artists at various times. This pretty much falls in line with most of the big rig monitors systems we use (dv-dosc, arcs, etc). Delay to artist is usually right up to but not exceeding 5ms. (including the 3 foot gap between the artist and the speaker)
So in a nutshell the OP asks for a direct radiator for a reason.
Yes these are for budget texas headphones for 'club level' stuff where they will only be used twice a month. The tops are EAW NT59's if you must know with a dolby lake available for the proc duties.