No, not safer. We were talking about ratio of successes to failures - reliability. I think that's a different think entirely. Soyuz is definitely safer.
Something goes wrong on the pad; in Soyuz you use the emergency escape tower to get the hell out of there, in Shuttle you're screwed.
Something goes wrong with the lower stages; in Soyuz they're liquid fueled and they shut down, you separate, deploy parachutes, land and try again; in Shuttle they're solid fueled so they keep going no matter what, all that energy has to go somewhere and if it doesn't end up pointing you straight at the ground it will probably blow you up, unless by some miracle you've all managed to unbuckle, jump out the hatch and start praying.
Something goes wrong in the upper stages; in Soyuz they shut down, you separate and go for a ballistic re-entry, uncomfortable but easily survivable, in Shuttle you have to wait until the external tank has less than 5% fuel before you jettison or else it could slosh back and hit you, ruining your chances of a safe re-entry. If engines shut down before then, you're screwed.