I happen to have my Hornaday forth edition Vol. 1 manual near me right now.
For 224 they show 15 different bullets for reloading 22 center fires from 40gr. to 70gr. I turn the page to the section for 220 swift and they list 2 53gr bullets and nether one is really suitable for hunting; both at match bullets, BTHP and a regular HP. It also does not say they are Hornaday bullets. but if I go by this manual I can not load a 53gr. bullet for hunting in the 220 swift.

That is just what I load a 53gr, sierra bullet over 4064.

Al