Don't forget that AdSense is a footprint where every account has a unique identifier. So you took great care to put the sites on different hosting accounts, but then you essentially undid that separation by leaving the same footprint on both sites.
If the sites are linking together, or even sharing the same tight niche (in an effort to dominate a SERP), then Google can make some assumptions about what you're up to and maybe trust your site less than it would otherwise.
I don't think that AdSense on its own is an indicator of quality or could influence your ranking. But I believe that footprints like these can be dangerous, depending on what you're up to.