Its not to say you can't do it, but it depends on your expectations.
you have to understand that if you build 1000's of links to your money site with gSA to tier 1, it is a big risk - it may well work, but it could also tank your site.
if it's easy to rebuild and re rank, that's fine, but if you can't afford to lose that site, then you need to put some tiers in between gsa and your site.