I only know what the Connect app may cause. Let's forget the Connect application. I do not have a wireless display. I cannot use the Connect application.
Your PC would be your "wireless display"! E.g. my Connect window goes on my VGA monitor when it is active. Why can't you use the Connect application? Let's investigate that tack.
BTW I have now realized how ancient the PmS app is. I did a ProcMon trace of it starting up and saw that one of the things it would do is check for compatibility. So I would imagine that installing it in W8 compatibility mode would probably be a good thing
to try if you really wanted to pursue the PmS method of making this connection work. But first I suggest you find out why a Wi-Fi connection would not be possible. Apparently the old app is supposed to work via Wi-Fi anyway too.
C.f.
https://nokiapoweruser.com/project-my-screen-on-wi-fi-works-on-windows-10-mobile-build-14328-finally/
(via BING search for
projectmyscreen compatibility
)
Note the checked check box "Allow input from a keyboard or mouse connected to this display". This is starting to help me understand what a message about enabling Touch input may mean. I never see any such UI prompts on my use of this tool because to my
other Surface it is only another display it can Project to. I would have to find some method of both making it think that it was connecting to a Touch screen and figure out how the Connect app could be made to think that its client knew that (i.e, that someone
on the other side had used a UI element that indicated they were OK to have mouse or keyboard input--I'm assuming that's where the input would be coming from--but if you could hook up a mouse and keyboard combo to your phone (e.g. either Bluetooth or USB wireless)
then that concept would be reversed. Extending the idea to pen support would be phenomenal. E.g. then I would be able to use my Surface Pro stylus instead of my Surface RT capacitive pen!
As a phone user which would you prefer, in relation to your screen projection, using a mouse and keyboard from your phone or from your PC?
BTW another hit on a completely different tack came up with the same search. Have you looked at the
Lumia Beamer app? Looks like it would project something like the PmS UI to the remote display (e.g. to the PC's Connect window, wherever it happened to be placed.) Hmm... looks like that one may be passe now too. I tried what it said was
the "new" URL and got a 404 saying that maybe it should have been an Azure redirect. But there appears to be no knowledge of it where that led
https://azure.microsoft.com/en-ca/search/?q=lumiabeamer
OK BING knows. It's long gone.
https://www.onmsft.com/news/microsoft-discontinues-lumia-beamer-app-windows-phone
HTH
Robert