The question asked in the title is very different to the one asked in the post.
The totem's stats do not change when your stats do, other than when the stat that's changing is one that specifically affects totems, such as "x% increased Totem Life".
That is irrelevant to the effect of the totem attacking/casting something, because the totem is not using it's stats for that. Totems do not have their own skills separate from you, they use your skills. If your stats change in a way that affects your skills, it affects your skills regardless of whether you or the totem uses the skill.
So this has nothing at all to do with how your stats change, it matters which of your stats change. Stats which affect your skills will affect them, stats which affect you specifically will not affect the totem.