In reply to Gwinn512:
For example 1 it's easy. If you couldn't onsight the bottom section then you wouldn't have been able to onsight the whole thing, so it's got to be redpoint. Maybe if you didn't do them the same trip and couldn't remember the beta for the bottom section you could justify it, but if you do them in a short space of time then the challenge is not comparable to onsighting a 'normal' 7a+.
Example 2, IMO it's not taking the piss to claim this as an onsight. Yes there's a threshold where the first section becomes relevant, but I don't think there is a black-and-white answer. You can often sort-of tell anyway - if the 6a was unusually pumpy with no rest at the chain, and you were right at the limit of your endurance on the extension, then you probably wouldn't have onsighted it (though it's hard to imagine a 6a this pumpy). If instead of a pumpy 6a it was a slabby technical 6c with a sit-down rest at the chain, followed by a steep extension on juggy tufas, it may not have made a difference. If you're being strict you probably can't claim OS in either case, but I wouldn't give my partner, or myself, a hard time if they tried to.
As others have said, noone really cares, and you just have to be honest with yourself about what you did and why you care. If it's for bragging rights, do what you want but don't let anyone find out how the sausages are made! If you want to onsight 7a+ because you view it is an intermediate goal to doing Right Wall (for example, I have no idea of the sport grade of RW), then you're kidding yourself if you do example 1 and consider it ticked
Post edited at 11:31