It's fine if IRCC need any info then they can contact the mentioned phone no. and if you have received at least your P1 then you don't need to worry as I doubt if IRCC gonna verify your profile again unless your LMIA.
I don’t have an LMIA but I have oinp EE nomination. I read it some where they are calling employers but I’m not sure what if my employer won’t pickup a call because they usually ask to get an appointment to talk.