An installer option seems like a workaround - a solution to a (currently) ill-defined problem: Is Ubuntu Software too hard to find or to use? Or is Wine too hard to find within Ubuntu Software? Or something else? Perhaps a clearer understanding of the problem might lead to a better (easier, more maintainable, less unique) solution.
When I try searching for “Wine” in Ubuntu Software, Wine (deb) is the 29th item on my list, clearly labelled, and has the familiar icon. I merely had to scroll down twice. Alternately, it’s fourth from the bottom. The top 27 items on the list were snaps that include wine already. Which honestly seems a more attractive option for many folks in the “first time users of Linux” and “aren’t tech savvy” segments.
However, seems like a possible bug that all those snaps hog the top spots on the Ubuntu Software search result - I doubt that’s the best search term for them. When folks search for “wine” in Ubuntu Software, it’s pretty clear what they are likely seeking a limited subset of the 33 hits. A fix for that issue would solve the “can’t find Wine” problem…and probably others in using Ubuntu Software.