I think hosting sites have a little bit more advantages than owning a page.
In a hosting site you there is already a readers base that may be interested in your comic, contrary to a webpage where you have to do a lot of heavy lifting if you want to get people to read your comic if you are starting for scratch.
You have to learn at least a little bit of coding or be willing to pay someone to design the page, contrary to a hosting where everything is ready to upload.
As it has been already commented,it's easy for readers to forget about your comic.
And tapas has that cute little app.
In the end is a matter of preference and what works better for each creator. In my case, I'm very happy not owning a site.