100% agree. If I am using a cloud log provider I wouldn't expect them to solve my logging issue(s) as fast as I need, more importantly I have no real way to put more resources on that fix.

More importantly, with a third party service I'd be very surprised if both went down at the same time and it wasn't a further upstream issue like AWS. If its my own logging service and it went down during a prod outage, I likely didn't properly isolate my logging service in the first place.