Well, since you don't have ramair at all on the bike, having a normally piece of crap TRE on a bike will prevent it from getting richer (relatively) at higher rpm in higher gears. That said, depending on the fueling type, getting slightly richer may not be a bad idea.
Many people now use ECU tuning on bikes and the timing is often made to be the same fr all of the gears and the ramair compensation is made the same for all gears and engine speeds. That's pretty much what a TRE does.
This is probably the only case where I'd say it it ok or even actually beneficial to use a TRE over not using one. I'd still flash the ecu, but if that is not an option, I'd probably keep the TRE.