I must have lived a sheltered life because onmy Antex soldering iron
I have always used a standard chisel tip.

Recently I saw a lot of cheap soldering irons in the stores with a
conical tip. I can't think I'd ever want to use that shape but someone
must be doing so. What use does a concial tip have for
electrical/electronic work?

It's cheap to make.

Broadly speaking, a chisel tip delivers more heat to the joint you're
soldering, simply because it has a larger area.