You get the advantage of the Tile ecosystem, which means anyone with the app installed has the potential to help track your umbrella.
The only value-add here is that they have an app that tells you when rain is forecasted, from what I can tell.
Also, your general use statement is all wrong. The biggest problem with umbrellas isn't losing them, it's them getting destroyed by a gust of wind or simple, unrepairable mechanical failures. A better use statement would be "Never get caught again without your umbrella/backpack/camera/etc."
Current technology has already solved the generic version of this problem. What you've done is solve this problem again, but only for a very specific use case, while requiring the user to buy in to a bunch of specific software and overhead that only helps them in that specific use case.