I'm not calling into question any of your background or qualifications. You said it yourself in this post, 70% 20% 10%. I was merely saying that there isn't one MASTER program used for design, it's a collaboration of programs. But yes, I agree Illustrator is much more difficult, and if we're talking about logo design then it is specific to Illustrator.
An understanding of both programs (and the whole Adobe Design Suite for that matter) is optimal for competent designing. Not trying to cause a ruckus here, just trying to be accurate for OP's sake.