Ha, yeah, those teflon sockets... It's really impossible to tell if they are the issue without yanking them out and replacing them, and I'll certainly feel bad if they aren't the cause of the issue!
9.975V and 14V are dead nuts on.
If the tube socket connection gets flaky, you should lose the 5V reading across the paralleled 10W cathode resistors. I would be probing there next.