You could prune pieces with the roots & pot them up. Otherwise it won't be a problem, many succulents have aerial roots.
Here is a cutting that was just laying around for at least 4 mo or longer -

I just cut off the side branches and potted 3 pieces. Left the middle one horizontally on top of the mix since it had so many roots at every node; eventually will cut off new plants growing from it.

Cool! I was wondering what I would do if I let it root horizontally. That's brilliant. It becomes a mother to many. Since most only have the one node with roots, I do still have some questions:
1) Is callusing over necessary still?
2) Do I prop in a slight indent and or bury it?

3) What if it has 2 nodes with roots? Bury both

4) Would it be beneficial to do any type of air layering kind of rooting medium before severing?

5) Will a curved branch straighten? Small 2-4 inch pieces.

Thanks!

1.callusing is a good idea, especially if a thicker stem/branch.

2.not sure what you mean - if potting cutting, I stick it into potting mix maybe a 1/4 - 1/2" deep and put about 1/2-1" topdressing (larger chicken grit, pebbles). They also anchor cutting, depending on size sometimes that's all needed. 3.you can bury the roots or not if higher up the stem. Often, jades will grow air roots anyway.

4.they root so easily, I wouldn't bother with air-layering. Save it for woody plants:-)

5.if you plant curved branch as upright as possible, sometimes just turning it often toward sun may help. Tying it to stake (& re-tying as necessary) could work. Otherwise branch could be wired (same as bonsai). But trunk with all kinds of interesting shapes-curves-twists may be someone's preference. I think it's up to you, whatever shape you like. Same with potting few together, or just a plant per pot.

Here is a jade that someone gave me just before Christmas - it was left on balcony for a long time (and into very cold weather). I like the curved stem & keep most of it, all dead branches & leaves have been pruned off, remaining branches will be shortened, but I'll leave main trunk as is. Maybe it will straighten slightly in sun this summer? - I don't know but I will not try to straighten it on purpose.