An algorithm is a recipe or formula. There is nothing about an algorithm that requires it to be custom to the user. Merriam-Webster[1] has it as:

   a procedure for solving a mathematical problem (as of finding the greatest common divisor) in a finite number of steps that frequently involves repetition of an operation
   broadly : a step-by-step procedure for solving a problem or accomplishing some end 

"Hot" absolutely is a sorting algorithm. Whether or not you consider the top items in a sort to be recommended is a matter of opinion.

[1] https://www.merriam-webster.com/dictionary/algorithm