On some of those phrases, you can sure see the influence. But there's more than the voice.
Remember the scene where Dr. Evil freaks out over not getting the laser-beam-wielding sharks he demanded? According to one anonymous SNL alumnus, "I've seen that conversation between Lorne and the set designer 500 times at 10:30 on Saturday night." Also, Michaels, like Dr. Evil, "ends everything by bringing his pinkie up and chewing the fingernail."
But the connections might go even deeper than that. For example, Dr. Evil ransoming the world for a surprisingly low one million dollars seems like a reference to the time Michaels went on SNL to offer the Beatles a paltry three grand to reunite.
Historical footnote: They did not accept.
Allegedly, this pinkie-heavy performance was based on an impression fellow SNL alum Dana Carvey used to do, who was at least a little "pissed off" at Myers for cribbing it for his movie. Still, it's hard to "own" an impression of someone else, and Myers had the unique idea to use a Lorne Michaels impression for a villain in his movie ... oh, wait, no, the Kids In The Hall had already done that just the year before.