I kind of have the same feeling, I do not like to say that I have met people on a site/add somewhere.
But I am working with it, because it really isn't true that dating sites are the last refuge. If we all lived in a small village and had time on our hands, we would run into other people naturally. But things are not very natural any more. We move in narrow circles, often with very little time to see other people than our co-workers or whatever. The natural societies of the past are not here anymore, and in the course of your life you do not have much chance to see anyone, especially if you do not like cafees or bars or the like, or do not have loads of time for various organisations and meetings.
So you have to do something else, and the really sad thing would be to sit in a room and do nothing!
I think these times can be described as times of emigration: people meet each other over the net, fall in love on the net, and eventually meet and get married. It is a mind-to-mind meeting, with cluttering social signals out of the way. I live in UK, come from Denmark, have a sister in Sweden. MyLord have family in Scotland, US and Australia. My sister's friend's daughter lives in Australia, and they have to meet in Thailand for family gatherings. And I could go on.
All of which is just to underline that meeting on the net is natural.
All the same, a partner should not be more free with information than you are comfortable with. On general pronciple.