I've used "Did King Phillip Chew Only Fine Green Spinach?"
The phylogenetic domains of life are classified by ribosomal RNA, and while some do align with the Linnaean system, it's generally thought of as antiquated and outdated.
The only ones that make some sor of sense would be domains and species and I believe there is still controversy about dividing life into only 3 separate branches (that don't include viruses or simpler "lifeforms"). Even species is a vague terminology that can't really represent the "continuity" of reality.
My point is I wouldn't include that in a scientist badge.