I have successfully sized down 303 to 6.5 x 57r. The 303 neck easily sized down in a set of 6.5 x 57r dies. I then fire-formed the brass.
This was for my Drilling. The 303 cases blew out to the 6.5 chamber dimensions, except near the base where the web metal was too thick. The rims on both my 303 brass and some necked down 7 x 57r brass that I had, where too thick for my gun, so the extractor could not remove them. I had to knock them out with my cleaning rod.
I think the extracting problem may be individual to my 100+ year old gun. My 6.5 x 57r marked brass extracts fine though.
I have many hundreds of 303 brass, so I am not tempted to try forming 303 from 8 x 57r, which tends to be scarce.