Leather, nylon and Kydex name different materials, and what each word covers depends on the knife's maker. Buck and Case call their leather sheaths genuine leather; on the makers' own pages, nylon covers glass-filled molded, injection-molded and ballistic nylon; Kydex is SEKISUI KYDEX's trade name for thermoplastic sheet. A listing's description names the sheath in the supplier's words, which can differ from the maker's own.
On the knife makers' own pages, the three words cover different ground:
On putting a knife back, Gerber's product care page says "Never use excess force to replace your Gerber knife or machete within its sheath." On wear, Buck's view is that the sheath is likely to wear out long before the knife, a point taken further in replacing a knife sheath.
Preparing a knife to sit unused for months is a separate question, the subject of storing a knife long term, and the sheath as a safety device is where the answer on safe fixed-blade carry begins.
None of the makers cited here ranks leather, nylon and Kydex, pairs one with a use, or defines nylon; each describes its own sheaths. Nor do their pages say that one material is harder on a blade than another.
The words also differ between documents. Buck's sheaths page says nylon where Buck's 2026 catalog says polyester for some models' sheaths, and the supplier text in the product data calls some Kershaw sheaths injection molded where Kershaw's own pages say molded, glass-filled nylon. For one knife, set the listing beside its maker's own description.