You're not wrong that it does that, but that's kinda what I'd expect. Maybe because I'm used to it, but if there's a potential turn it'll say "keep right" or "keep left". So it makes sense to me that it says "second exit".

"Straight" can be ambiguous, second exit isn't. Maybe it's because I'm terrible with directions and hate driving, but I like the constant feedback that I'm going the right way.

I once printed out a directions from an online map that contained "pass straight over the next fourteen roundabouts" (I think it was on the way into Reading). Lose count, and you are stuffed. I much prefer a turn-by-turn approach.