This could be fixed with an extension to the kernel pty subsystem

Allow a process to send control instructions out-of-band (e.g. via custom ioctls) and then allow the pty master to read them, maybe through some extension of packet mode (TIOCPKT)

Actually, some of the BSDs already have this… TIOCUCNTL exists on FreeBSD and (I believe) macOS too. But as long as Linux doesn’t have it, few will ever use it

Plus the FreeBSD TIOCUCNTL implementation, I think it only allows a single byte of user data for the custom ioctls, and is incompatible with TIOCPKT, which are huge limitations which I think discourage its adoption anyway