What about RDS Proxy? I believe it's still only supports 13 which means if you use both the Proxy and Aurora you will have to wait? RDS Proxy does still mention only support for v13[1].
RDS Proxy is very specific with which versions it supports. If it says it doesn't support it, it doesn't support it.
Postgres 14 is supposed to have built-in connection pooling. If you're on it, do you still feel the need for RDS Proxy? We're using pgbouncer and can't decide if we should switch to RDS Proxy or upgrade to Postgres 14 and drop the external connection pooler.
[1] https://docs.aws.amazon.com/AmazonRDS/latest/AuroraUserGuide...