Earlier quoted context omitted.
Are they already vulnerable to RCE as an unprivileged user? Hopefully not. An LPE only allows an attacker who can already execute code on the system to become root. So, bad, yes, but it doesn't mean you are immediately pwned.
Should I rush to Lambda or ECS and turn off all my containers sharing a host with who the hell knows?
I would assume AWS is pretty on the ball when it comes to handling stuff like this if they didn't have other defenses or mitigations in place already.