Though I found a blue quote online that said the Torment legendary multiplier stacks with the Rift legendary multiplier. So apparently the level of Torment you start your rift in does have some effect...though on instant reflection, that was probably talking specifically about normal Nephalem Rifts, not Greater Rifts.
Nifty. Out of curiosity, does it scale linearly? I don't want to math right now.
Assuming the numbers are right, I can handle farming on Torment V - I was able to clear a Level 22 rift today, and timed out partway through the boss in 23 even after dying twice (Cold Snap ). Let's see if that is true.