The meaning of ‘a vaguely Zen sensibility’

The meaning of ‘a vaguely Zen sensibility’

The passage below is from Fathoms: The World in the Whale Hardcover by Rebecca Giggs.

We loved it all the more because the museum wasn’t meant for us. The many binomial names on the wall plaques proved unpronounceable. (Binomials, or scientific names, are two Latin words that indicate the genus and species of an animal, and place it within a greater order of relatedness: hence Eubalaena australis, the southern right whale; Eubalaena glacialis, the North Atlantic right whale.) Whoever had composed the museum’s signage possessed a vaguely Zen sensibility. ‘A Fish’s Shape Suggests Its Habits’, said one. ‘The Plates Are Greatly Reduced’, ‘Irregular Urchins’, ‘This Body Has No Brain’. Creatures, and parts thereof, stored under preserving liquids in the spirit collection, appeared to sample the sepia environments of old photographs (I long believed the past was this colour). Objects that ought not to be were mounted tantalisingly within grasp, unalarmed. To our great delight, we could see up close what we would never get near to in nature: the fierce and fangy predators, taipans spiralled in jars, animals known to trample and gore. Over time, some of the taxidermies had grown shiny on their hindquarters and up their shins — a high tide of mange spread by affectionate patting.

In this passage I cannot figure out the meaning of the underlined ‘to possess a vaguely Zen sensibility’.

I know the literal meaning of Zen, which is a way of Buddist meditation or enlightenment gained through it. (Am I right?)

Surveying the signage of the museum, the author speculates that it hints of a Zen sensibility followed by four example signages, ‘A Fish’s Shape Suggests Its Habits’, ‘The Plates Are Greatly Reduced’, ‘Irregular Urchins’, and ‘This Body Has No Brain’.

But that signages don’t give me that sensibility, I mean I don’t understand.

How does ‘A Fish’s Shape Suggests Its Habits’ hint of a Zen sensibility?

(Here habit means ‘pattern of behavior’. (Am I right?))

How does ‘Irregular Urchins’ hint of a Zen sensibility?

How does ‘This Body Has No Brain’ hint of a Zen sensibility?

By the way, of the four signages, in ‘The Plates Are Greatly Reduced’, I think plates means scales of a fish. (Am I right?) Then in ‘The Plates Are Greatly Reduced’, does it mean the scales of a creature are greatly reduced in number as it literally means? (Am I right?)

But still I don’t know How ‘The Plates Are Greatly Reduced’ signage shows a Zen sensibility as the other three signages.)

Could you give me a sense that the author tries to make of this passage?

Thanks a lot in advance.