I did something similar, for similar reasons. In the end I just did whatever to get it published. If you show up at my door, I'll pour you your choice of beer/coffee. But I agree, it feels very invasive!
On the web side of things DNS only recently started being more private - 10+ years ago it was common to have your phone + postal address on whois.
Two take aways from my experience 1. I'm happy that I invested more in the web 2. The app store gives you distribution - I have a few websites with almost 0 traffic, but the app I wrote gets a handful of downloads a week almost 2 years later?