Not everyone is understanding what you're saying, as evident by the downvotes you're getting
I'm fulltime FF but I won't pretend that the in-site (site specific) search works as smoothly as it did (does?) in Chrome
In Chrome you would go to foo.com and you would use their search input and from then on, in your address bar you can type foo (or maybe just f, depending on how often you use foo.com), and press <tab> to search within the site
This is a workflow you get used to
For the longest time I wanted this in FF, but I think the real thing that clicked for me was just heavily leaning on duckduckgo's bangs
(Firefox does have in-site search, which you can use by right clicking in the site's search input and clicking "Add a Keyword for this Search", but I'm not even sure how it works heh)
edit2: so I guess my main point should have been: Firefox has a manual step for what Chrome did for "free", after you made your first in-site search, which you were probably already going to do
It's not like Chrome has an easy and user-friendly way to do the same thing. Quite the opposite: Chrome has no way at all to do this, while Firefox has a technical way to do it even if it's not obvious to most users that it's possible.
What is your argument? It is clearly happening and it is not surprising given Google's business incentives. It's slow enough that there is a large chance of many falling for it, which is what makes it so dangerous.
Basically, Firefox allows you to set a keyword (which I often set to an abbreviation + question mark) which you can link to a site's search URL. For example to search Google Scholar I would type my keyword, "sch?" and then my search query, and after pressing enter I am taken to the site's search results. It's a few more steps you have to take, but has the added benefit of allowing you to add the functionality for any site.
Alternately you can switch the default search engine to DuckDuckGo, which lets you use DDG's "bang" search shortcuts (see https://duckduckgo.com/bang) from the Awesomebar. So you just type a search query and then append "!g" to run that search query through Google, "!w" to search for it on Wikipedia, "!yt" to search for it on HN, etc.