Yeah it's amazing how often people think, "X doesn't work" when they're not even using it in a hypothetically viable way; 2v1 top is a great example. It's a disaster at lower levels when people don't know how to watch for ganks and are terrified of dying, and a surprising number of skilled players never bothered trying it again once they knew what they were doing, and so there's a very persistent myth that it doesn't work and you need a jungler.
The secret is to kill the god-damn turret. As you pointed out, there's really no reason to be there 2v1 if it's about farming and minions. 7-8 minutes on the clock is a realistic target time for killing the turret 2v1, and it totally makes up for not having a jungler if you pull it off. It requires two players that are willing to chisel at that turret though.
Sony is trolling even more than usual; CDR is my favorite stat and I put it on almost everybody. The only people it doesn't seem to work very well on, as a general rule, are AD bruisers and many AD carries. I adore CDR on almost all tanks, supports, and casters. In particular, CDR is the only way to scale non-scaling effects, like most CC and support buff/debuffs. AP/AD usually does not increase the magnitude or duration of these effects, so the only way to scale them is to cast them more often to increase your % duration over time.
My pages are:
4%: 2 flat CD glyphs, 3 CD/level glyphs
9%: 1 flat CD quint, 3 flat CD glyphs, 6 CD/level glyphs