I've noticed that the airport utility with windows 10 does not recognize any apple device. Not sure it's even a functional software program. The only thing it's capable of doing is saying "Airport Utility was unable to find any Airport wireless devices." It performs no other functions. They might as well have just given us a text window.
I have no problems recognizing my airport extreme base with my mobile utility on the iPad.
I think it's mostly apple's continued way of trying to get people to use overpriced mac laptops/desktops: they just refuse to make any software work on windows. Oh, they'll give you all kinds of advice about hooking it up to your laptop with an ethernet cable, then updating the firmware, or doing a factory reset, or all other kinds of user-intensive work-arounds (none of which will work). At the end of the day,though, the only thing that should be done is a rewrite of the utility so that it does anything functional at all and does it the way it should. I know, I know. That's crazy talk. This is apple. Everything is perfect. Any failure is the fault of us users.