Oh gotcha. It was late when I replied :p. You absolutely get security with a layer of separation from hosting remotely. I monitor my home network and have a similar setup but I don't host anything from here. I never get attacked or probed at all compared to my remote server. Just having those open ports makes you a target. Once a few scanners pick up on you hosting content you will absolutely start getting attacked. Another benefit is you don't have to have any passwords on your remote host, just an ssh key. They can bruteforce all they want, good luck without a zero day. You also keep your personal IP address out of peoples scope by not hosting from the local network.

I used to run much heavier protection on my home network, but after keeping an eye on all the logs and alerts for a while I realized I was just wasting ram and storage space mostly. Sane firewall settings is enough for a typical home, and something like crowdsec is probably overkill.

Now if you are hosting stuff it's a different story. I would actually harden my local network MORE than I did the remote one due to much more of my personal stuff being on my local network. My remote host being compromised would be a mild hassle at most, It does self backups once a week, and I have my entire site in a private git repo I sync to. It would take a few minutes to throw up another server, if my home stuff got compromised a lot more damage could be done.