"I contend that I am capable of learning new material quickly enough that, if I were suddenly called upon at my job to write code which handles all of the slings and arrows of algorithmic complexity, I would be able to do so with very little friction. To phrase it differently: I (probably) don't know enough to write gorgeous, algorithmically sophisticated code on the first pass, but I know enough to know when it's time for me to hit the books, and where to start.
Obviously, it would take me longer than someone with prior experience in writing such code! If the overarching question is "does algorithmic fluency constitute a dealbreaker when hiring at certain positions", then I suppose the answer depends on how much longer it would take. I can only speculate on the difference in a flagrantly biased manner, as I would egotistically prefer to believe that I ought to be hired in more cases than not. :-)"
You are SERIOUSLY underestimating the amount of time required to learn that stuff. In essence, the full 4 years of a CS course deals with data structures, algorithm and math. Good luck finding a project where the stakeholders are willing to wait that much. Also, unless you are a very unique snowflake, you will not have the required discipline.
On the other hand, learning a new language is accomplished in a matter of days. Learning how to code well requires experience and willingness to learn from one's mistakes.
Which a candidate with a good CS background may already have.