I actually do this for my homelab setup. Everyone basically gets the local CA installed for internal services as well as a client cert for RADIUS EAP-TLS and VPN authentication. Different devices are automatically routed to the correct VLAN and the initial onboarding doesn't take that long if you're used to the setup. Guests are issued a MSCHAP username and password for simplicity's sake.
For internal web services I could use just Let's Encrypt but I need to deploy the client certs anyways for network access and I might as well just use my internal cert for everything.
Personally I'd absolutely refuse to install your CA as your guest. That would give you far too much power to mint certificates for sites you have no business snooping on.
Guests don't install my CA as they don't need to access my internal services. If I wanted to set up an internal web server that's accessible to both guests and family members I'd use Let's Encrypt for that.