I'm not quite sure what you expect Ctrl-arrows to do, but I'd be surprised if tmux can't be made to keep that behaviour.
If you spend a lot of time in the terminal, there's a lot of value to be gained from using tmux. It takes some configuration to get value from it, but there is value there.
If you spend a lot of time in the terminal, there's a lot of value to be gained from using tmux. It takes some configuration to get value from it, but there is value there.