OK, this is my opinion only so if it contradicts anyone, understand I'm speaking on my experience and it's an opinion based on that.
I highly recommend NOT venting the PVC to atmosphere. On part throttle conditions, you'll lose the intake manifold suction that'll clear the sump of combustion gases that can contaminate the oil. Under boost conditions, you will lose the turbo vacuum draw on the valve cover/sump. This is going to ramp the crankcase pressure up something fierce. It will be even more brutal IF you already have ring wear issues and low compression to begin with. The solution being presented will make things even worse. Think of the factory closed PVC system like a cheap factory racing vacuum pump. People that do this venting mod start popping dipsticks out the engine block under high boost/power. It's also brutal on the environment, and smells nasty like you would not believe, and it leaves a nasty vapor mess in the engine compartment. Yes, this is based on my experience.
I suggest getting a very high quality catch can that is SEALED that can work either between 1) Valve cover and turbo compressor 2) Valve cover and intake manifold. Plenty of threads on this site for catch cans. A sealed catch can on each individual circuit would be best.
I know you said you don't have oil coming out the exhaust, just put that aside for now because it is stopping you from conducting a systematic troubleshooting. I know oil burns, but realize at part throttle you are always burning some tiny amount of oil vapor and don't even see it in the exhaust. The question is "how much" oil can burn and be visibly detectable.
Couple of ways the oil can exit a vehicle:
1) Fluid Leakage (turbo oil feed line, turbo oil return, oil sump pan, valve cover case, timing cover case, block end seal (auto/manual trans) etc.)
2) Piston ring wear leakage (i.e. burned in combustion chamber)
3) Piston ring carbon buildup (i.e. affecting piston oil ring control)
4) Valve guide seal wear (i.e. under vacuum draw/part throttle, burned in combustion chamber)
5) PVC failure (i.e. combustion gas NOT drawn in under vacuum, pushing oil out elsewhere)
6 Vacuum draw turbo (i.e. oil drawn into intake and burned in combustion chamber)
7) Pushed thru turbine gap ring out the exhaust directly (ie. blocked turbo oil return, potentially NOT burned in combustion chamber, maybe not even burned at all, but pushed out the exhaust exit as vapor)
Conducting the PVC function check, compression test, leakdown test, inspection of the exhaust pipe/rear bumper (i.e. oily vapor residue) will help you/mechanic diagnose the problem.
Finally, compression of 125 psi is NOT the factory lower compression spec limit. In fact the Nissan factory spec lower limit is 172.6 psi for the MR16DDT. The motor is a 9.5:1 compression ratio.
You should ideally be doing a "hot" compression test on a good battery/alternator. Even with the throttle snapped shut and checking hot I'm up near 170-180 psi on the Juke with 7-8 cranks, that is critical to get the pressure readings up. I check my compression (1) yearly after doing a carbon combustion chamber cleaning before and after. If you are getting 125 psi on all cylinders then the compression test isn't being done correctly OR the engine is wornout/carbon buildup and of course it's going to burn oil. I get 150-155 psi compression on my EVO X with 9:1 compression ratio, for example, that is within spec.
Find a very good shop/mechanic and tell them what is going on and let them give you the diagnostics, then go from there.
See below the specifications for 2012 year Juke Gen1.