Yamahas have great build quality so TRB will play like butter. The Cort will be probably be good but not as good.
However, Yamaha seem to deliberately downgrade the electronics of their cheaper basses and this has the same preamp and pickups as the Japanese made TRB5ii. I own both a TRB5ii and a TRB5pii and the electronics are noticeably better in the TRB5pii. The sound of the TRB5pii is excellent and bright and the EQ works brilliantly but the TRB5ii sounds a bit dull and the EQ is less effective. The TRB5ii (and TRB1005) is also no louder than a loud passive bass whereas the TRB5pii is very loud, as you'd expect from an active bass. The TRB5ii also has a very weak detent on the blend, treble, mid and bass controls, which annoyed me at first but I put stickers on the knobs and I don't mind so much any more. The TRB5pii doesn't have any problem with the centre detents. Unfortunately, you will only get electronics like the TRB5pii in a BBEast or John Patitucci TRB, which around £2000.
The electronics are not easy to upgrade in the TRB line because all of the electronics are housed on a single circuit board so you cannot upgrade one bit at a time. The dummy coil on the pickups will only work with the TRB preamp unless you're willing to reverse-engineer the circuitry. If you do replace the electronics, you'll also need to chisel some of the wood in the cavity because the panel is very thick and only accommodates the TRB preamp.
The blend control is active on the TRB1005 which gives an incredibly smooth transition from one pickup to the other but unfortunately means that you can't simply add a passive switch without bypassing blend.
I've attached a picture of the impenetrable circuit board preamp just in case you're interested.
I'm certain that the TRB has better build quality and will feel absolutely fantastic under your fingers but the sound is probably better on the Cort.
In my opinion, Yamaha should just bite the bullet and put their good electronics in 1005, 1004 etc. and just charge another £150 and they'd have such a killer bass for the price. It's such a shame.
Regards