Imprint and stenciling are 2 different methods. Imprint uses a rubber mat with various patterns and are stamped onto freshly laid concrete after half hour or so (depending on concrete mix).

Stenciling from what I understand originates from Australia. Their methods are somewhat different. It comes in rolls of selected patterns. It is a few mm thick. Erm, they look like netting (best description my brain can think of lol). Laid on concrete and then removed when dry. If I am not mistaken, this cost more than stamping.

Both methods I have seen how it is done first hand.

Both are just different methods to create patterns. If cracks occurs, it isn't because of one or the other. What I normally see are used on driveway. If your house does not come with either, the only method I see if to hack off the entire slab of the driveway, pour new concrete and do the stamping/stenciling.

I've seen some people just lay about 2 inch of cement screed and then do stamping over it. 50mm, with no reinforcement and meant for vehicle to drive in and out, it SURELY will crack.