Interesting that one of the reasons mentioned for not supporting Tapatalk is that it wouldn't give the reader the full Pinside experience. Surely that's the reader's choice rather than the site operator's? What matters more? That the user reads your content, or that the user reads your content laid out and presented in a style that you prefer? I'd suggest the former matters more, especially as this will still add to your site stats.
More significantly, Pinside already supports multiple RSS feeds. The site operator has no control over how those feeds are consumed. Tapatalk is just another client that consumes the same content that's already been syndicated via RSS. What's the difference?