Companies like CX will note when you apply and how often you update them. I know a gentleman who applied and updated his application every 6 months. There was a period where he stopped because he thought it wasn't worth updating. He finally got an interview, and the interviewers asked him why he stopped updating within that period.
You mentioned, "I know that I'm far from meeting the competitive mins for CX DESO...". It doesn't hurt to apply now and start a profile. You'll probably get a call few years down the road. I think you need like 2000-3000TT and 1000 multi-turbine.
Are you Canadian?