The problem with conte is you need significantly more stuff to draw with it, at least if you want to take advantage of the advantages.
Conte blends really well. You can get gradations in color that are near impossible with charcoal or pencil. To do that, you need at least one blending thing, two is better: one for putting on and one for taking off, as well as some kind of cloth, possibly another cloth if you don’t want it on your fingers, something to sharpen your blenders, and if you need different tips, you need different blenders. You run into carrying a small kit. This utterly neglects erasing.
My pencil drawing kit is a mech. pencil, eraser, and paper. Sometimes I’ll throw a 6B graphite stick in a case, but that’s it.