if you want anything other than "switch to another full terminal window, no splits, no status bar" then you want tmux or screen or zellij - this tool and the others like it are explicitly avoiding becoming (nested) terminal emulators like tmux and screen and zellij.

at least I think it would be possible to do "switch to another full terminal window, no splits, no status bar" without being a terminal emulator, I haven't tried.