But we don't actually see their relationship right after Padme has been killed, so we can't say what absolutely happens. We can say this is likely, but it's also possible that something else happens. There is no canon saying "Alys calls Cordelia every morning after breakfast to chat" nor is there canon saying "the ladies never spoke beyond necessity for nine years."

So we don't really know and I'm curious about all the possible ways it could have gone.