Hi Robert,
ah understood - no, this is not the cycle date - what you mean it´s the chart date.
Here a short description of a chart header:
The chart date is the date, where the chart was created/added in the Jeppesen database and has nothing todo with a AIRAC cycle. The effective date is the date, when this chart can be used.
I have looked on your example. When you compare the Jeppesen RNP05 chart with the FAA RNP05 chart you will see, that the effective date is the same:
Here the Jeppesen chart header (yellow the chart date, blue the effective date)
… and here the same example from the FAA - the blue marked date is also the effective date and equal to the Jeppesen effective date:
The green marker on the FAA plate is the current cycle information, but Jeppesen doesn´t print this information on their charts. Honestly, this information on the FAA is useless because important is the effective date and it´s nice to know that this chart from FEB/21 is still valid in AIRAC 2403 
We are updated the charts and the date every 28 days and you can be sure, that you always have the latest versions on your system.
Hope that helps, when not, please let me know …
In the meantime, Happy Easter to you 
Richard