In my pic, I wet-mopped it before the photo to bring back the shine and colour. I suppose you could use a polish on it. Possibly the intention was that the housemaid would beeswax it.
The stone chippings look like marble but I understand they are actually granite.
Marble is lime, the same material as limescale in a kettle, so would be eaten away by an acid cleaner.
I agree that in a kitchen, every cup, plate or glass you drop will smash, so we had cushioned vinyl laid. It was in the front hall, understairs, kitchen, scullery, pantry, and downstairs WC. IMO it is magnificent in the front hall, though cold on the feet, and you will need at least a doormat. Do not allow any carpet fitter or plumber to drill holes in it. Unless you are very rich, damage is irreparable,
The generation before me considered it old-fashioned and had fitted carpet laid.