I came here to say that was a Gladys/Tyrone skit from Rowan & Martin’s Laugh-In, with Tyrone uttering what you wrote above. Of course, he got a severe beating from Gladys with her pocketbook for his trouble.
“I know it’s just a comic, but I can’t tell you much I despise this modern tendency to think that feelings don’t matter. We aren’t machines, we shouldn’t be machines, and feelings matter.”
It was. It may have also been used on The Benny Hill Show, but my memory is a bit foggy on that.