For enrichment Courses and ECFE, the system will present the Registration Status as 'Closed' online when the online registration period is not active (hasn't yet started or has already ended) and the course section’s end date is in the future (meaning staff could still registering someone to attend on those future dates).
'Offline' is be displayed when it is not available to register at all (i.e. if the course isn’t a stage 5, if the course Catalogue, Category and/or section has been deleted, the Category is set to not be online, no sections are online). Another way to look at it is that the End Date(s) of the class are in the past (so you wouldn't want anyone to register for it since they can't attend) and the Online Registration End Date is also in the past (no one is allowed to register online).
This is the same for Child Care. 'Closed' indicates the registration has not started while 'Offline' is when something is missing or not complete to allow online registration (rates, registration options are not set to be online, etc). 'Closed' can also be a function of the Available Online in either the green Site Section or purple Online is set to No.