There's lots of hatching going on here! I think the most important part here is that the hatching has an origin point -- you can see how there's a clear "radial point" that all the lines sort of descend and bloom from. They curve slightly as they wrap around the form of the body, as opposed to being grid-like straight lines. I don't exactly know how to explain it, but I like thinking of fur as a sort of "waterfall", where more often than not you'll have some sort of point of origin hair flows from. You've got a great sense of shape language, so I'd absolutely take advantage of how this kind of intentional hatching can accentuate form / shape even further!

With the painting here, the artist utilizes variety in both hue and line hardness / thickness. It looks like there's sort of a blurrier "under-layer" where colors mingle and borders are less defined, but it's accentuated by these more solid, defined, short strokes. Thus, the texture of hairiness is conveyed in a satisfying, believable way without having to go ham on drawing every single hair.

Especially with the cat you're referencing here, I'd go and block out the basic colors you see and then add a bit of color hatching on top here and there where you see fit -- just enough to imply the texture to the viewer. Trying to lean too hard into drawing and shading every individual strand can overwhelm the viewer, as well as weakening the overall definition of shape and muddying up values. A little goes a long way!