Hi Sculpt,
I actually think the definitions are a bit fluid and most definitely subjective. What I call Emotional Thinking might not be what someone else will see it as.
For my own purposes, I see it as someone who tends to default to their emotions more than logic. Something like, "I know this person is bad for me, but I feel better when I'm not alone," and so they can't let go of a toxic relationship. Whereas a more logical thinker might be satisfied with knowing that this situation just isn't good for them, and that's enough motivation to cut it off. In the past, my more emotional side used to win, but that has changed over time.
I think it also varies by personality and situations. I'm someone who was raised in an atmosphere that stressed delayed gratification, so when I see something I think is kind of cool that I'd like to own but isn't really a necessity, I generally don't have a problem passing it up. My logical thinking says, Nah, you really don't need that. It would just be more clutter and you can add the money to your savings instead.
Whereas a more emotional response to that situation might be, "But... buying this will make me feel better. I've worked hard, and I deserve to treat myself!" And there's nothing wrong with that under the right conditions of course. And a more emotionally-thinking person might even see this as logical thinking for themselves, reasoning that, "This thing will improve my present mental condition and is cheaper than therapy, therefore, it is worth the cost."
What would your own definitions of logical vs. emotional thinking be?
Once you have an idea of how you've seen or experienced these things in your own life, feel free to go from there.