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This is exactly what I do. (Or if I'm pressed for time, neither.) I don't think a couple of not-to-failure sets of pushups or pullups is too much for me.I would say yes! Maybe alternate with pullups i.e. one day pushups the next pullups and so on
I guess there's always the straw that breaks the camel's back when it comes to overtraining or lack of recovery time, but I don't I'm there.
I don't know that I'm improving my pullups or pushups with just a couple of sets a few times a week. I consider it more maintenance. However, I know my one-rep max weighted pullup from right before I started S&S. I'll test after I hit Simple and see. Look for the results in the Success thread in a few months.
Of course, I won't know for sure if any improvement will have come from S&S or from the actual pullups I've done - but my suspicion is if there's any effect it will come from S&S. I've done pullups for years and have been stalled at ~12 reps for a while.