When I look at "review" sites.... the first thing I do ..is to see if a referral link is added to the review URL... then I know what their agenda is... in this case it looks like there are no referral link. So I gather that this site was not created to spread referral links and to get income from that.
Are you sure about that? It seems that every external link on the site is redirected via internal cloaked URL forwarding. There is no point in doing something like that unless you want to hide the actual URL and the referral code within it.
He uses cloaked URL forwarding as @Stalker22 say but I think that is a usual thing to see it is used to hide his referral because, in another site, we see the same thing as him.
If that is about promoting the site, the referral links must be used by them as they want to benefit from that from their visitor because who knows, one or more visitors will click through that links and they can become his referral.
The thing that @OP should do is update regularly of his review so he can gain more visitors that will come to his site.
Besides that, it will help him to get a crawl from the search engines robot and they will know that @OP update his site.