Your own infrastructure is definitely less secure than this or even, say, Google. You do not have the capability and teams of SREs to detect intrusions, and an attacker would know that your server processes your data.
Maybe, but I can totally firewall my own servers to my heart's desire, including completely blocking it off from the internet and only allowing connections via my own network's routes.
I VPN (WireGuard) into my home network to access other selfhosted services (like Immich for photos, paperless-ngx, DNS adblock, etc.) and to prevent some tracking, so it would work great for me.