Were the others totally insensitive, that they didn't pick up on the undertone to the conversation?

"I thought people were totally insensitive to the emotional things that were going on with our players," Thomas said.

I mean you don't want your children to grow up to be totally insensitive.

Was that trip a clever display of realpolitik or totally insensitive bozocraft?

"And you will note, Alaric, that I am not totally insensitive to the interest of the ladies at my court," he went on.

"Are you totally insensitive to what I'm going through?"

You, on the other hand, seem to be totally insensitive to his situation.

Yeah, mall-rats are totally insensitive to pain when on acid...

"One more killing will be enough to convince us that this Government is totally insensitive to the plight of the poor," he said.

She is totally insensitive and indifferent to the feelings of others.