This is generally correct but it really depends on the animal. My most extreme example is a male I have that is too tame. He will only eat FT rats. Runs from live. Has never eaten live.
I do not recommend the following but it is a qwerk of this particular animal and it took me a long time to figure it out because it is so abnormal and against everything we are taught. This boy does not strike. He will only eat if I hand feed him and hold the rat so that it touches his nose. He just casually takes it into his mouth then wraps it. Strange animal. No other animal I have has ever acted like this. I keep waiting for him to get riled up one day and tag me but it has been years and I have never seen this guy get excited once.