The problem is most new rifles are chambered in .22LR (or all three short, long, long rifle), for that matter...
So the shorts don't chamber quite deep enough to engage the rifling...so accuracy suffers.
Can I ask why you're set on using shorts?
If noise is an issue, why not just use some quality subsonics or similar?
From what I've seen, quality subsonics are usually a bit cheaper than most shorts...and shorts are somewhat difficult to find.