Besides an occasional process improvement over soldering, this can be applied in cases where soldering cannot, for example with very heat-sensitive components such as OLEDs.

It's useful in certain special circumstances where it's useful. It's probably not useful to you or most people.

It's just a very exotic and strange thing that does make some things possible which would otherwise be difficult or impractical some other way.

It can do essentially the same job as a zebra strip, with the following differendes:

Zebra strips are typically very thick blocks of silicone rubber. This is very thin tape.

Zebra are generally not adhesive. They're usually just a chunk of rubber that conducts electricity in two dimensions and insulates in one dimension, but the 3-part sandwich of pcb+zebra+part must be held in place mechanically (metal frames around lcd screens). This is double-sided adhesive tape.

Zebra conduct in two directions and insulate in one. They are useful in only one dimnsion. You can take a line of contacts and lay a zebra strip across them. The line can be curved or straight but it's sill essentially a single dimension which is along the line. IE the row of contacts could be say radiating lines and you could lay a zebra in a circle to cross tbose. What you can't have is a grid of dots or any other random arrangement of contacts, just a line. This tape however insulates in two dimensions and only conducts in only one dimension. It's like a tiny carpet of vertical conductors all insulated from each other. You can lay an inch square sheet of it right over a footprint of any random arrangement of contacts, and it conducts an exact image vertically up from each contact, but does not short between the contacts.

Some uses for that could be prototyping where you want to test components temporarily and conveniently without soldering. You just stick the components to the pcb with the magic tape and they actually work.

More likely uses are to connect things where soldering would be difficult or impossible. For instance connecting displays or ribbons to pcbs where the part may be glass with no metal to solder to, or delicate plastic film that would be destroyed by heat, etc. You can do that with zebra strips now, but this would allow packing in a whole lot more contacts into a smaller space. Or allow sticking components directly onto materials they can't be soldered to. Like sticking a chip directly onto the back of a glass display with no ribbon and no pcb.

You can place BGA components on a board without soldering, which for BGA requires an oven, a hotplate or a heat gun. Also ribbon cables without a housing.