Why there is no pink stone here
Pink does occur in stone. It comes from iron in a particular oxidation state in a pale marble, or from feldspar in a granite, and there are famous examples of both.
What there is not is much of it, and what exists tends to be quarried for slabs rather than cut into field tile. So a pink tile range ends up made rather than quarried, which is the reverse of what happens with beige or gray.
A glaze can be any pink at all
Ceramic is the main material, with glass and porcelain behind it, and a glaze is a recipe. It can be mixed to any shade and reproduced exactly, batch after batch.
That freedom is why the pinks here run from a barely-there blush through to a strong coral, and why two tiles from the same series match in a way two pieces of a pink stone never would.
The names describe how little there is
The series names on this page are blush, powder, soft, crepe and similar words, and that is worth noticing because it is not how other colors get named.
A blue is named for cobalt or sapphire or the sky, a green for jade or forest. Pink gets named for dilution: how much white has been put into it. It is the only color in the catalog described by how much of itself it is missing.
Glossy, almost throughout
Glossy carries this range by a wide margin, with matte, polished, crackled and a leather face behind it.
Gloss suits a pale warm color for a specific reason. A matte pink absorbs light and settles toward a flat, chalky tone; a glossy one holds a highlight and the color reads as intentional rather than washed out. The crackled piece takes it further, since the fine cracks catch the color at several depths.
The formats are narrow and small
12x12 sheets lead, then 8x8, 2x8, 3x6, 6x6, 2x10, 2x16, 4x4 and 0.5x8 pencil liners.
Look at that list and the use is obvious. The elongated 2x8, 2x10 and 2x16 pieces and the pencil liners are accent formats, used for a panel, a band or a single wall. Pink appears in this catalog as a deliberate feature rather than as a floor.
Pink and the light in a room
Pink shifts more between light sources than most colors, because it sits close to the warm end of the spectrum already and a warm bulb pushes it further.
The same tile can read as a soft neutral in north daylight and as a distinctly warm pink under an evening lamp. It is the practical argument for looking at a sample in the actual room at more than one time of day, and it applies more to pink than to a blue or a gray.
Where pink works
A bathroom wall, a powder room, a kitchen backsplash, a band inside a neutral field and a panel behind a basin. It sits naturally with brass, warm wood and cream, and against cool grays it needs pushing toward the coral end to avoid looking washed out.
Backsplash tile holds every color a wall can be, and ceramic tile the material most of this range is made from.