I think for recovering completed applications no need to log as INFO, rather it can be made it as DEBUG. The problem seen from large cluster is if any issue happens during RM start up and continuously switching , then RM logs are filled with most with recovering applications only.
There are 6 lines are logged for 1 applications as I shown in below logs, then consider RM default value for max-completed applications is 10K. So for each switch 10K*6=60K lines will be added which is not useful I feel.
The main problem is missing important information's from the logs before RM unstable. Even though log roll back is 50 or 100, in a short period all these logs will be rolled out and all the logs contains only RM switching information that too recovering applications!!.
I suggest at least completed applications recovery should be logged as DEBUG.