Do instant support replies accidentally make users feel like bots are handling them?

I used to treat customer support like a speed game where closing tickets fast was the ultimate goal. But I noticed a weird pattern whenever I replied within seconds to a detailed complaint users would sometimes respond back sounding even more frustrated.

It hit me that when an answer comes back too fast people assume you didn't actually read their message and just copy pasted a template. Sometimes slowing down and waiting a few minutes makes them feel like a real human actually thought about their problem.

Have you ever had to put an intentional delay on your replies just to build more trust?