Oh, no it doesn't!
Jabba: Oh, yes it does!
Others: Oh, no it doesn't!
Is this a pantomime? Who's playing the dame and who is the principal boy?
Weak Anthropic Principle: [Wiki, after Carter]Life capable of observing the universe will only arise in a universe compatible with such life. (no mention or necessity for multiverse)
Strong Anthropic Principle: [Barrow and Tipler] The Universe must have those properties which allow life to develop within it at some stage in its history. (no mention or necessity for multiverse)
It is true that one part of Barrow and Tipler's explanations behind their SAP touches on there being two likely scenarios, either one universe, or a multiverse. That doesn't mean that either the SAP or the WAP relies on the multiverse concept.
Modified Anthropic Principle: [Schmidhuber]: The 'problem' of existence is only relevant to a species capable of formulating the question. Prior to Homo sapiens' intellectual evolution to the point where the nature of the observed universe - and humans' place within same - spawned deep inquiry into its origins, the 'problem' simply did not exist. (no mention or necessity for multiverse).
Still, I don't know what this has to do with the actual topic of the thread.