Presuming my understanding of persistent sessions lines up with yours, set `terminal.integrated.enablePersistentSettings`. You may also want to change the value of `terminal.integrated.persistentSessionScrollback` to something higher than the default (1000? not sure)
It does for me when using a remote instance, like a devcontainer or over ssh. Maybe that is just because the server side keeps running and when you reconnect the UI reloads from there. Locally nothing would remain to be reloaded when you restart VSCode.
