I have neither a tap, nor hot water; damn, I'm buggered.
In icy conditions, I trad front doors and any windows near (and I mean near) the front door.
I'm always amazed how quick they get done, (sometimes I wonder if it's better trading them anyway?)
For me it's seconds either way.
I've used a tap before and the ability to alter the flow is very helpful indeed, but (icy conditions aside) I'm a constant, high flow, kind of guy; in and out fairly quick.
I don't think the expense of hot water (for me) would outweigh the benefits, so I am going to pass on that one.
What is great, is that we have all these different ways of working to suit everybody's individual needs and if one thing doesn't work then something else probably will.
And yes...roll on the +degree weather!