I don't see how a state school could get good Ofsted without reasonable communication.
DS private school often failed to answer the phone & didn't have an answering machine, either. Emails were better for getting msgs thru, but not perfect.
We didn't know who was driving his minibus (I paid for transport). Eventually I got a mobile number for the driver because I wanted to be courteous when DS was going to miss school & bus shouldn't wait.
Fee (sent by cheque) went missing in December & we weren't informed until April (I know, should have noticed cheque wasn't cashed, but lots of money moves around in December-January).
DS was at the school 2 yrs & I never had a parent's evening, only received one letter inviting us for parent evening (yr6); I emailed with my dates available, no reply. Only feedback was end of yr reports (given out on last day of summer term).
Last 4 weeks of yr7 DS had no time table for Weds-Fri & kept shrugging when I asked him if he had right books for next day.
Latest newsletters not online, either, other examples I won't list, and yes, we were paying for that level of service!
The state secondary DS is transferring to has been a bit poor at comms, too (see my thread in chat where everyone tried to assure me that any state secondary school would be fine at transfers, well Folks, they aren't). BUT (unlike the private school) they are supposed to have a website login with his time-table on it, and notes online about whether homework was done or detention or bad behaviour. I am more than up for dealing with whatever lack of comms they can throw at us. Water off a duck's back, this time.
ps: Other DC at state primary, I get heaps of communication from them.