I sort of feel it's the inverse. The last place I worked was heavily into automation and they had the one manager who always cautioned about relying on too much automation. I think that was a healthier dynamic tbh.
Too much vs. not enough are just different sets of problems.
Too much = you risk no one on the team being able to troubleshoot when things go wrong because no one has ever had to run through the process themselves before so no one understands it.
Too little = a non-trivial percentage of your bandwidth is eaten up by trivial things you keep doing over and over again that are in the vain of servicing requests rather than solving problems.
In practice I find I'd rather have the first problem and I can think of solutions to it's problems that I'm happy enough with.