Technically it is damage though
It would be nice to have different terms to describe "damaged on purpose, but healthy" hair and for them to be widely known and used
Texturizing doesn't give even results but I feel that it gives more even results than training. There are less variables.
With heat training, is the hair tool really the same temp every time? Does it touch each section of hair for the same amount of time. Are you lingering too much on some sections or others? Did you linger on the bottom, middle or ends of any particular sections too long or too short? Are you sectioning your hair in the same exact sections every time? I feel that since the straightening affect is more manual than chemical, we have less control of it overall. More of a chance of human error and miscalculation.
I agree that relaxing and training are both damaging.
However, your hair can still be healthy as in in grows and retains length, has a good moisture balance, has volume and shine... etc.
When people see the word damage, they usually connect it with split ends, and breaking and dry hair.
I totally get that my hair is damaged, but not damaged
Well, looking at my other responses in this post, I do consider it as damage, but I do acknowledge that a person with trained hair can have healthy hair.
Each method has it's own pros and cons... you pick what makes more sense to you. Personally relaxers make more sense to me.