I think this depends on what invisible means. Does it mean no detectable signature - IR/thermal, scent, sound, etc.? Or just not on the visible light spectrum for humans? If not detectable at all, I think it would hold greater value for information gathering and have a lot of useful applications in hostage and other criminal situations, as well as state security through a very useful means of tradecraft. All that’s out the door if a couple of rottweilers can sniff me out though.
It’s a bit of a monkey’s paw question as having either power puts a huge burden of secrecy as well as the threat of danger on yourself and whomever you choose to share knowledge of it that with.