That depends on the height of the PEDs. I believe the plan for the NTfL lines is to install PEDs which don't go all the way to the ceiling. On new lines like Crossrail the full separation of the tunnel and interior spaces is a desirable outcome since it simplifies airflow and fire/smoke handling. I don't believe it's possible to retrofit this to existing tunnels, so the PEDs only need to be tall enough for people.
While PEDs would obviously reduce the amount of open space, they could counter-intuitively make more room by encouraging people to use the full width of the platform when there's no train. Today passengers will be rightly afraid of walking too close to moving trains in case something bad happens. With PEDs, you'll be able to walk and wait as close to the platform edge as you like as you'll never fall through it.
The Glasgow Subway will be getting PEDs after the new trains replace the old ones, and before full UTO can start.