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Nope, the anise/liquorice flavour mostly comes from anisole being detected by scent receptors in the nose/mouth, not by taste receptors. The 6th taste that the article is discussing is triggered by ammonium chloride and would probably best be described as an ammonium taste - kinda like how savoury taste mostly comes from the activation of nucleotide and glutamate taste receptors.
Umami is just a Japanese neologism for savoury. In my food science course at uni the two terms are used interchangeably.