Hmm,I hear you;I know I’m lucky my OH let’s me do what I like around the ‘man kit’!Unfortunately not. I have about 5cm space between plasterboard and breeze block. I had to channel out a groove to put existing kettle plug in and reskim. It’s now been decorated so no more diy...orders!!! If I was able to unscrew cable from tv I could possibly thread cable through existing conduit but no room for plugs, just hdmi, usb size.
I still wouldn’t let this dictate what display I get,especially at this level:Why not just surface mount a single socket behind the screen,above the OLED ‘gubbins’ if it’s that close?
I have an electrical background and I wouldn’t remove the fitted plug for reasons already mentioned.