More or less, the CPL test is a vfr navigation and handling exercise and it's arguably not that relevant to airline flying. The MEIR and MCC/JOC are a lot more relevant since they are all about hand flying on instruments, and flying as part of a crew.
As far as modular flying training goes, nowadays people tend to do the CPL/IR together almost like it's one module rather than two. If you do then separately, even if separated by several years - you haven't technically completed your flight training until you've finished the last module, and who says you have to mention individual dates for each course?
You can still legitimately say (on a CV): "EASA/CAA CPL/MEIR. Modular flight training completed at ABC school on date XYZ. MCC/JOC completed at ABC school on date XYZ" and more importantly, skills that actually matter (MEIR) will be recent.