1 : sensitive mental or aesthetic perception
2 : a keen sense of what to do or say in order to maintain good relations with others or avoid offence
It isn’t true that cats aren’t capable of tact.
They can and do have the ability to feel the various sensitive aspects of a situation.
Most of the time, they just choose to ignore this as mere nonsense.
Life is short, after all.
And cuddles or food or play or snooze are far more important than what we consider crucial.