I think that would be a problem because you've mentioned all your pages will have an affiliate link.
This might be an issue, but it can be offset by the percentage of purely informative pages on your site.
If your ratio is somewhere between 85% informative and 15% commercial, then you should be okay.
Maybe the affiliate link in all your information pages is in the sidebar somewhere.
But if you only feature commercial content or all your pages are reviews, that may be riskier.
I'm not saying it's the kiss of death but the fact that you have an affiliate link on all your pages is something to be concerned about in light of the overall intent of your content.