They do have some benefit, mostly though it's that you keep or get the nozzle frost free when the bottle does have sufficient antifreeze in it but the alcohol has evaporated from the nozzle end. Doesn't help if it's frozen in the tank / tubing.
Don't overestimate their heating power. It's only a few Watts (and that is controlled by a PTC I'd guess). They won't get 'hot'.
Greetings from a place where the thermometer is currently showing -16.