I believe it is tactless, to say the least.
I, for one, find it tactless to say the least—indeed, probably counter-productive—to suggest, even by implication, that we do not trust them.
I will not be tactless and talk about cutting prices "at a stroke ".
Perhaps it was rather tactless of me to raise the matter.
We wronged these people by dismissing them in such a tactless fashion, and they deserved compensation for this.
I am not suggesting that all military policemen are tactless, but one tactless man can do more harm than 20 good men can do good.
I would not, therefore, wish to be so tactless as to intrude upon it.
It can be tactless, overdrawn, offensive or unsuccessful.