Yes - this subject even came up on the NG a few days ago relating to animator.
Last week I had to buy new prototypes (on our dime -company policy on mistakes) because an angle mate spontaneously flipped and I didn't catch it before release (no interferences in the assembly, just a part subtly pointing the wrong way).
When I can, I try to 'coincident' mate component planes to sketch lines instead (or better yet, 'coincident mates' to additional planes made from those sketch lines so there is an explict choice on 'alignment'). I have no excuse for skipping that best practice last week. Stupid me.
Of course, that tip doesn't help with limit mates (which can be another brand of ugly - lots of overdefinition for no good reason - I avoid them and use configs, with a note for min/max in the dim itself whenever I can). But in most cases mating to sketches or planes to define the angle prevents avoidable and expensive problems.
Ed
However, as Paul pointed out, I am really tempted to point my finger at them not paying attention to that mathmetician guy. Not my fault, not my fault!