Back in the early 1950's when the idea of an all round BG rifle was evolving,guys like Art Mashburn, Al Biesen,and Warren Page were building shorter, lighter rifles for general BG hunting worldwide.
You're right; cases of the STW capacity (which really boiled down to full length, blown out 300 H&H brass necked to 7mm,and were in existence a long time before the STW) did not work too well from 22 inch barrels but cases of somewhat less capacity like the 7mm Weatherby and Mashburn did.
Warren Page killed 400+species of BG animals globally with Old Betsy, his 22" barreled 7mm Mashburn with a 175 gr Nosler Partition and 175 Hornady. So the rifles shot well.
Keep in mind back then there was no 7 Rem Mag.
A bit later, Bob Hagel built a Mashburn but used a 24" barrel
You can look this stuff up. Anyway that's where the idea came from.
Here's one of those rifles at work; it was built by Griffin ad Howe, chambered 7 Rem mag with 23" barrel.