For me, I've never even heard of the website in question. Why would I, as it's not a field of interest for me. However, if I were to search for it, it would be a search engine result, not a search field on some website I have never knew existed.
Sidebar: examine is one of two sites I regular use the google site filter for: “site:examine.com (supplement name)”. A good search engine would put it first for basically any supplement.
Also, the main page has 2 search boxes if we want to get pedantic about it. Why? I'm assuming as a dev type mindset that they will do the same thing as one is always there while the landing page disappears with use.
And so if you end up on https://examine.com/supplements/creatine/ it pretty much blows away all other pages on creatine.
So at the end of the day, you still end up on useful information.