I am the author of the sheep.horse link above, although here[0] is an updated link.

Even with filtering turned off you get slightly incorrect results, especially if you are resizing down where aliasing might completely ruin your image. Harsh black-and-white dithering is very susceptible to scaling artifacts.

If you want pixel perfect dithering for the screen you are viewing the page on, you need to do it client side. Whether or not this is worth the bother is up to you.

[0] https://sheep.horse/2023/1/improved_web_component_for_pixel-...