now.
Many places had one side of an outlet switched. It was often before overhead lighting. The side that was switched would have a lamp plugged into it. The switch would be on the wall near the door so you could switch on the light before entering the room
Someone told you something different than what you heard.
Unless it was done special like I have wired some outlets, the standard practice is that both outlets on that one doublesocket is fed together. that is the hot side and the neutral side of both outlets are wired together.
I do have a couple of sockets wired so each outlet of the double outlet are connected to each side of a 240 volt line. The reason is it is next to a 240 volt socket that feeds that 120 volt one. I did that for my ham radio station so I can run an amplifier on 240 volts. I also have a
120 volt amplifier that draws lots of current so when using it, I have heaver wire. That is one place where your system of everything on a 240 volt line would have been handy.