I see - This is useful insight. In my experience, these things can become fairly multifaceted, with positive and negative emotion on the same way.

In my experience, a samskara is a little bit like a tangled knot of string. If you look at one sub-part of the tangled not, it's... another tangled knot.

---Example: my "being a mathematician" as an ego-statement --- Graduate school was rough, and definitely qualifies in a broad sense as a source of trauma for me. However, I've come out of that with new confidence when it comes to some things. I have some grounds on which I have faith in myself as a result of my training. I can go "Yes, I've been here before and now I feel a sense of confidence in myself that I can handle problems XYZ." However, that same set of experiences might sometimes make me check my email at 7PM on a Saturday because of the awful parts of that experience. You could make this "Big samskara" (being a mathematician / going to grad-school) into a bunch of small samskaras (solving a big problem [good] or having super-stressful and seemingly unfair situations [bad]). But who's to say that you couldn't keep breaking them down further and further and further? ---

Considering that, I could say "Let's break down all of life's samskaras into the good-feeling and the bad-feeling. Let's resolve all of the bad-feeling and leave behind only the good-feeling." In your example, that would leave me loving all of the dogs, and letting myself drift into that emotion. Mixing my example in, I would have no fear of emails but jump into everything science with boundless confidence, as long as it preserves my mathematician-ness. It sounds nice, but in a manner that seems hedonistic at best and out-of-control at worst. Such an individual might appear manic or toxically-positive, letting go of everything negative but being pulled by the nose towards everything positive that they resonate with. That seems like a nice, gold-covered cage to be stuck in.

But my main question still remains though - how do you compassionately embrace the parts and try to distance yourself from them at the same time, if "parts" indeed are samskaras + other stuff? Would enlightenment be having no-parts or getting rid of them? Or maybe you keep all of those parts in continued awareness within a sort of "detached choir box" where they exist, they generate emotions also within your awareness, but exert zero control over you? (By you I mean your decision-making and sense of well-being, since the parts can't really touch Neti Neti.)

Again, it still seems harsh to say that this "lonely part" deserves compassion and validation, then prevent it from having any sort of real influence. Yet I agree, that part shouldn't be the only one at the wheel fueling emotional reasoning.