On Stack Overflow, we have:
bootstrap - 248 questions
bootstrapping - 151 questions
bootstrapper - 125 questions
Shouldn't these 3 be merged into bootstrap?
bootstrap, and bootstrapping could be eventually merged, but I don't have any reason to believe they should. Bootstrap is normally used to mean "a self-sustaining process that proceeds without external help," while bootstrapping is normally used to mean the phase during which an Operating System (or a web application) initialize itself.
bootstrapper is really referring to something specific about the Composite Application Library. The bootstrapper is, "responsible for the initialization of an application built using the Composite Application Library."
If it is really too ambiguous, bootstrapper can be changed to use a prefix for the technology using it, such as in prism-bootstrapper.