the FOSS version of nginx has great built-in caching, so I disagree there, but the others I can agree on, especially mod_php. I don't ever use PHP these days, so it's not something I routinely think about, but I'm sure Apache is better for PHP than nginx.
I feel that the let's encrypt CLI clients are plenty good for nginx, to the point that installing a new module for apache (let alone nginx) is more work than just running a CLI client.
If you want TLS automation, Caddy is superbly good at fetching its own certs, and you don't have to fiddle with installing an additional module to do it.
- Provides HTTP caching (via mod_cache)
- Simplifies the deployment stack by providing built-in interpreters for dynamic languages. e.g. mod_php (i.e. you don't need php-fpm), mod_wsgi (i.e. you don't need gunicorn)
- Load-balancer upstream affinity ("stickiness") based on HTTP cookies
- Load-balancing based on upstream's connection count (via mod_heartbeat)
- Built-in Let's Encrypt integration (via mod_md)
tl;dr provides a lot of features out of the box -- some people may see this as "bloat" or overly tight coupling, but this provides simplicity.