As long as you're leaving the 14 on your head and not mounting it permanently behind the eotech, this shouldn't be a huge issue.
For a lot cheaper solution than buying a new eotech, grab a red-cut filter and thread it in front of your 14. That's one side effect to the aviation filters on my anvis unit (and certain variations of the LIFs/etc) - they cut visible red and green lasers much dimmer than the lightsaber that they normally appear as. Benefit is when I pull out a RDS pistol or red dot rifle, the illumination is perfectly comfortable through the NVGs rather than needing to switch them over into an NVG mode. It also helps with instruments in the car not glaring quite as bad. Sure I could see people saying you want to have those wavelengths coming through to give you the brightest possible image, but I haven't experienced detriments yet, even when experimenting side by side with one tube filtered and one unfiltered. Stars seem to pop a bit better with the filters in place.