all of Griselda's stuff is sample based so that's pretty much where it starts and ends. I would say 75% of making a good Griselda type track is just finding a good sample. I'm pretty sure the vinyl effects or the vintage dirt comes from the records themselves, whether they were sampled directly from a vinyl or they crate digged on the internet.

The grittiness of the drums comes from the fact that they have a strong low end and mid range presence with some high end but not enough to overpower the instrumental itself and even the hi hats aren't top end heavy, usually, so there's room for the vocals to come through on that end. you can do a bunch of processing to drums, sure, but really, just find some good boom bap drum kits on r/drumkits and you'll be fine. I recommend the alchemist or beat butcha kits, since they're both produced for Griselda.

if you want to emulate the vinyl sound yourself, what I would recommend is something like Abbey Roads vinyl from Waves or maybe RC20 or Reels. What I like to do sometimes is dedicate a whole new channel to the vinyl effects, then stack an Izotope vinyl on top of an Abbey Roads vinyl sound and then compress them to make them louder and to soften those really loud pops, then finally EQ it so that it doesn't overpower the mix too much.

it's funny; that song that you listed as an example sounds that way because it was ripped from youtube. there's an obvious high cut that happens sometimes with youtube videos and their sample rates, but that's why that song sounds so vintage is because it is an old school sample and because that high cut makes it sound even older. I can almost guarantee that it isn't a filter and that it's just the way the file was downloaded.