I spent over a decade running midwest mud, and never once NEEDED an electric or hydraulic winch, despite burying a truck on 44s to the frame several times. More often than not, a shovel was all that was needed, and a few hours of time. Since getting my first winch about 10 years ago, I think I've used it on myself maybe 3 or 4 times that wasn't the result of goofing around and pushing harder and harder on an obstacle until I hit the limit of my rig, and that was from sheer laziness more than anything else. Though I will also say that after getting a winch, I quit carrying a Hi-Lift, as I used the Hi-Lift as a winch more than anything else. As another mentioned, I find the bottle jacks and scissor jacks to be far more useful for lifting a tire, and with far less chance of being injured by the jack (not to mention, I don't have to get creative in securing the axle up before lifting from a bumper, lol).
I find the same thing to be true in the southwest desert - the Warn on the front of my Jeep is a convienence, not a need. I have never once found myself in a situation that the winch was my _only_ option, but frequently it's the easiest and/or quickest option.