You'll be wasting your money. If it starts OK with the CTS unplugged, then the GP relay is working. Unplugging the CTS not only increases glow time, but also puts the cold timing advance to maximum. That second part is the part you should be interested in. Your nozzles could be faulty but it should still start OK.
Your problem is with timing, compression, or fuel delivery. How sure are you about the veracity of your compression readings? Try a different gauge on your engine, or try your gauge on another TDI. Any difference in either test calls the gauge into question. You say the timing was adjusted. Was that done using the correct procedure, using VCDS or equivalent, with a warm engine? You can't time these "by ear" or by the seat of the pants, like some people used to think they could do with older mechanical-injected diesels. Check the pump timing with VCDS as the car is now. If the pump timing is too retarded, it will be hard to start. Incorrect cam timing can do the same.
Was the correct procedure used for timing the cam? Need the cam locking plate, put engine to #1 TDC, break sprocket loose from taper fit on cam, lock cam just forward of TDC (just touching cam locking plate on forward side), make sure IP sprocket bolts are loose and sprocket moves freely of IP shaft, get cam sprocket almost fully back into position but cam bolt still loose, tension belt to correct setting, torque cam bolt using a counterhold tool to 45 ftlb, tighten pump sprocket bolts, remove locking tools, rotate crank 720 degrees, recheck everything. Did all that, exactly to a T?? OK, now you can set pump timing with VCDS. Set to advanced side of range, between the upper two lines, shooting for somewhere between 55 and 65 most of the time. If the compression and fuel system are OK, it will now start perfectly.
Check fuel restriction also. Is the IP leaking and losing prime? That will cause a hard start, though generally in those cases unpluggung the CTS will not help, which makes me lean towards timing or compression. Is the fuel filter or tank pickup plugged? That will make it start hard and run poorly. We have made a video about this since we see so many cars with fuel restriction issues; this takes you through the steps of checking and diagnosing:
http://www.youtube.com/watch?v=yRMTEAKsScE
Have you checked your pump case pressure relief valve? Can also cause hard starts and other running/driveability issues. See where it is and how to know if it's OK or not here:
http://www.youtube.com/watch?v=9h2WZxQ08lQ