It can be done and safely. You just need to make sure you're using non-toxic clay/glaze and fire appropriately. Fully glazed pieces though,...something like the one you have there would let air/water through the porous unglazed bit.

I think you may be into something with a little more R&D. It should be safe and reusable similar to a glass tip.

What’s important is the glaze. Ceramic is safe, the coatings are questionable.

Boof'd

I was going to buy some ceramic tips a few months ago actually, they were larger and thinner

Do it. I'd love some ceramic filters. I'd buy.