I don’t know of any studies offhand, but anecdotally I know a lot of kids with sensory issues who have benefited from compression clothing and weighted blankets. Weighted blankets are cost prohibitive to try on a lark — especially if you’re not sure it will help — so I made one for my son. The cost of materials was under $30! If you can sew, try searching for a pattern online.
If your child likes the feeling of “being smooshed” or likes tight hugs, heavy blankets, etc., I’d give compression clothing or a weighted blanket a try. They provide the sensory input kids need to feel more regulated. It helps them feel calm and, in a way, organized. The blankets help kids settle down faster at bedtime. There’s no reason not to try them, IMO, other than cost. Good luck!