After setting up Erase my Mac remotely, is the device still visible in Find my Phone

My MacBook Air was stolen a week ago. It shows up as one of my devices in Find my Phone, but it shows as offline and so there is no location. I have set up Lock, with a password.

My question is, if I also set up Erase, will Find my Phone still be able to see it? Will I get any message when the MacBook connects to the internet? Or will the Mac no longer be visible to Find my Phone?

Thanks, I'm really worried. It was abroad, no chance of getting it back so I want to make the contents innaccessible to anyone.