Android doesn't show a cursor when using touch events, but it does display one whenever you use an external mouse or trackpad. This works fine in every browser, except for Edge, where you get Android's default cursor overlaid over the cursor we got from the session.
The problem seems to be that Edge has absolutely no support for CSS' cursor property. It doesn't even switch to a hand for links.
I've used the feedback form to report this to Microsoft. I'm uncertain if there is much else we can do, as Edge doesn't honour "cursor: none".