From abstract it looks fine but yes if i were in your position; to avoid delays and risks, i would immediately raise a WebForm with new reference letter clearly stating work period
from May 2019 to still working ( why to close end your working period it is not big deal but surely it require un-needed explanation).
Of course with the rest required criteria ( designation, duties, gross salary etc..) just to be safe and eliminate any misunderstanding.
What is your AOR anyway?
It takes around 2 weeks to 3 weeks to return or inquire an application? Are you already past the AOR with 2-3weeks ?