Reminds me way too much of this

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Reminds me way too much of this

Well it's a good thing monkey foxes don't know about NFPA 704.
The symbol is called the healer's paw. It's a stylized depiction of the female forepaw print minus the digital pads.

Because yinrih are perennially unshod, and because they can see infrared radiation, they can see glowing paw prints left in a person's wake if the ground is metal or otherwise absorbs heat quickly. Since the arrangement of palmar pads on the forepaws is sexually dimorphic (male prints are shown below), and since the medical field is dominated by women for historical reasons, people desperate for medical help would follow random trackways of female paw prints in the hopes of finding a healer.

The logo reminded me of the peppermints brand King (that originated in the town I live in). The edge of their packaging always featured the red symbol much like yours.
Peppermint (the herb, not the sweets) is also known for its healing properties.
Yeah I can see the resemblance. I designed the symbol some time last year. I noticed earlier this year that it resembles the logo of a certain chain of veterinary hospitals.

The yinrih themselves are largely inspired by me processing the aging and eventual passing of one of my dogs, hence why the average yinrih lifespan is an inversion of the typically quoted dog:human ratio of 7 dog years to 1 human year. My dog ended up passing at one of these hospitals.