Usually no, unless they send me into reach areas like AM53. But often I get assigned into some god forsaken place in the middle of nowhere, so I just do my duty there and set course for my usual hunting grounds.
Playing GWX, I often don't even bother going to the patrol area (because you do not get any renown). After I spend my last torpedo, I sent a status report, and when BdU orders me to return to base, I happily comply with clear conscience.
I consider modding the game so that I receive a negative renown if I don't complete my orders, but without some testing (for which I don't have spare time) I'm not sure how would it affect game balance.