Why doesn't FIDE recalculate ratings match after match? In this question I brought up two rating systems and wondered which is used by FIDE.
Briefly, they are:

Method 1 Ratings are updated (recalculated in other words) after every match.

Method 2 Ratings are recalculated after a specific period of time, say after a tournament or once a month.


I found out that FIDE uses method 2 (recalculates ratings once a month).
My question
Why doesn't FIDE recalculate ratings after every match?
Is there some kind of statistical problem with that? I don't mean to be partial to either method, but there must have been a compelling reason for FIDE to choose method 2 over method 1, and I'd like to know what that is.
I always thought recalculating the ratings match after match would make the system more accurate, but I'm not an expert, so I can't be sure.
The ECF only update grades once every 6 months and their main reason is practicality. If they were to update grades after every game, it would require team captains and tournament organizers to submit game results immediatley after the game was played. In reality, results are only submitted a few days or weeks after the game, making instant grade updates difficult. With regional leagues it is even worse, with many leagues only submitting the entire grading period's result in bulk once at the end of the period.

I suspect Fide has a similar reasoning. Most Fide rated games are not between super grand masters in highly visible professional tournaments, but amongst amateur players on a club or school level relying on volunteers to make it work. It would be impractical to expect of these individuals to comply to a rigid regime of correctly submitting game results continuously - the number of mistakes and complaints would be enormous. By only updating grades monthly, they allow up to a month's leeway on results submission.