Suppose it's time to setup multi-az and pay to insure against AWS' own failures. I don't know why I previously thought their EC2 uptime claims were sufficient. Lesson learned.
https://aws.amazon.com/compute/sla/
99.5% availability allows up to about 3 and a half hours of downtime a month. 99.99% means around 4 minutes a month. So if you can't handle hours of downtime, you should definitely be multi-AZ.
Datacenters do end up completely dying now and then, you really want to have a good strategy in that case. Or not, if that's not required.