My site is on a rented server at digital ocean. Some providers do more or less to protect you themselves though. I don’t think digital ocean does much monitoring or protecting, I’ve had servers on there compromised in the past that would have been caught by my current setup. It can’t hurt in any case.
I also run crowdsec on my home setup but I don’t have any open ports at home and never get alerts. I had suricata running and plugged into crowdsec as well so it would handle blocking for both, but suricata never got to get any action with crowdsec blocking malicious activity, so I disabled it to save resources.