OK then how about a 22x6mm, 224tth, 22x 57 ?

The 7x5 case has about 10% more capacity than the 6mm Le Navy, the cartridge that the Swift is based upon.  Seems like diminishing returns to burn 10% more powder and only get an extra 150 fps.  At 4000fps the Swift is said to be a barrel burner.  You shoot a lot.

Seems you need a 222 R.  superbly accurate; I think it still hold the record for most accurate cartridge!  If would fit a lot of your hunting needs.

I like the Norma Vulcan bullets in my 8x57 (black bear rifle) and in the 9,3x62.

While it would be perfect for big bears and moose, US hunters would prefer the 338 mag as less kick or go to the top with a 375 H&H.  Norma couldn't sell it in Europe as folks there might want to go to Africa some day, and a few countries have a 9.3 or larger bore limit.

Americans never seemed to like the 35 cal rifles.  Only the 35 rem in lever guns caught on.  the 350 rem mag, 358, 35 Wehlen, 356  all had a decent purpose, but few lived long.

We have two 35 Rem marlin levr guns in the family, both are deer killers out to 200 yards, which is a looong shot in the east.