I carry a TTi on my left in a sheath on my left side and a decent CRKT Point Guard clipped inside my right pocket. I can get the dedicated folder out and open in under a second without any trouble. The TTi is nowhere near as fast unless you are using it clipped and even then I don't trust it as much outside a sheath.

YMMV, but I find I use my EDC knife for bladework, the TTi for other jobs, and only rarely pull out the Leatherman blade when I have lost the edge on my other. It's not as fast or as efficient the way I'm carrying, but to each his own. Plus I like having the backup.