Joined: Jan 2010
Posts: 9,818
Likes: 1,790
From: Northern California
Bikes: Cheltenham-Pedersen racer, Boulder F/S Paris-Roubaix, Varsity racer, '52 Christophe, '62 Continental, '92 Merckx, '75 Limongi, '76 Presto, '72 Gitane SC, '71 Schwinn SS, etc.
I'd like to point out why the mixing of cogs can become more of an issue. Since the advent of shift-while-standing setups, there was an immediate need to reduce the slippage during gear changes. This is because an un-seated rider needs continuous drive force on the pedals or there will be an unnerving swerving when a shift is done "under power".
The slippage I mentioned is hugely magnified whenever an HG-type cogset's staging is interrupted by well-intentioned reorganizing of the cogs, thus I can't recommend it.
For touring and commuting, where aggressive attacks on rolling hills (or sprinting) are de-emphasized, a re-staged sprocket stack works well enough, though will still be more sensitive to cable contamination and/or misadjustment. I'm quite sure this kind of riding is what the late Sheldon Brown had in mind.
I have tinkered a bit with cassettes, one of my 12-25t cassettes gets a 28t added on for hilly centuries. I lose the 13t rather than the 12t though, and don't make the 12-14 shift under standing efforts anyway, so there's a net advantage on those grueling rides. That, plus I just happen to have a titanium 28t cog laying around.