ground the outlet or not??

Also jea48, I read both your post,  I agree whole heartily! , great read, I will tell you all here,  what jea48 posted here is code,  and the truth , especially concerning the op's topic post. 

Makes no sense whatsoever. What the Equi-Tech does is supply power in the same manner as a 2-pole 240 volt circuit only at 120 volts. You still need the grounding conductor on 240 volt outlets as Jea48 nicely summarizes the code and safety issues.

Before you hook up balanced 120 volt to your equipment, I would check with the manufacturer to see if they have any warranty objections. With balanced 120v there are now two current carrying conductors, so there should be a fuse on the equipment mains neutral as well as the hot. If you look at amplifiers with split primary power transformers (to operate at 120 or 240 volts) they have two mains fuses. If it runs at 120, only one fuse protects since the neutral is at zero volts but when converted to 240 the neutral is at 120 volts and therefore a short in the amp power supply will draw current from both legs, hence the reason for the second fuse. The same thing will happen with balanced 120, only the potential is 60 volts.