What I'm doing is the opposite of being biased. You're clearly projecting your problem on me considering how you're so desperate do deny any evidence that she may not join the crew, while I've been acknowledging all the evidences that she will in fact join it.
You really should search to see what "coping" means; It makes no sense to say that in this situation to someone who actually wants Yamato to join.
I never said she will change her mind, but that there's the possibility she will change her mind, and there's evidence pointing out to it, such as the fact that she clearly cares a lot for Wano, and the fact that she is basically just having interactions with Momo, who will be the next shougun.
And the evidences that she will join the crew do not nullify the evidences against it, though they may be more relevant. If you want to have a proper objective understanding of the matter, it shouldn't hurt to be exposed to arguments that can be made against what you believe will happen.
The comparison with Vivi, Shirahoshi, and Rebecca also still makes sense, because Yamato is in fact a young woman who began having a friendship with Luffy during the arc and is getting his help to deal with a problem concerning politics in an island.
Another thing that I'm taking into consideration is the way how Carrot also wanted to leave her home and go have an adventure, and she sneaked into the ship of the Straw Hats to go together, implying that she wanted to join the crew. And there was even an original anime scene making the implication more clear. And yet, now she has been reduced to clearly just a secondary character along with Wanda.
Even in Jinbe's case it was still very uncertain whether or not he would really join the crew until just recently, despite the fact that he said he would join it multiple times.
So it's still far from confirmed that Yamato will be a new crew member.
Zeus is a lot more confirmed as the new crew member, though he will most likely never be recognized as a new 'main character'.
She cares for Wano because she idolizes Oden very much, and that she knows that her father is a tyrant. She also knows that Kaido pretty much doesn’t care about her, that Kaido only wanted her to be alive to be his shogun.
Your point of “evidences toward she has a possibility to change her mind” is not wrong, but as has been already mentioned many, many times here before she has never said that she wants to stay in Wano, even after meeting Momo. Just because she bonds with Momo, doesn’t mean she will change her mind especially since she’s been imprisoned for 20 years. She has interactions with Momo because (1) Luffy trusted her to protect Momo (2) because she knows that Momo is important to be alive (3) she considers Momo is her own “son” because she thought she is Oden. She basically keeps Momo alive because she doesn’t want to be the shogun, and she pretty much doesn’t give any damn about being a shogun; and selfish reason aside she protects Momo because she wants Momo to be the next shogun, so she can finally leave Wano with the rightful heir.
Comparing Vivi, Shirahoshi, and Rebecca are also irrelevant. All of them never stated that they want to be free, nor that they consider Straw Hats to be a group they want to be a part of, unless Vivi. Even Vivi said that “when we meet again, will you guys still consider me as a nakama?” which obviously means that Straw Hats are important friends to her but she loves Alabasta more, and she is grateful that she was a part of the crew. Carrot sneaked into the ship not because she wanted to join the crew, but she just wanted to have an adventure, which she has already got in WCI arc. You pointed out about anime filler scene which has nothing to do with what has been canonically represented in the manga.
Yamato is pretty much set in the stone, only for Luffy to finally accept her once Kaido is being dealt with. Remember, Yamato was introduced right in the middle of the raid, she was the main villain’s daughter, and she asked to join when Yamato & Luffy were running away from the Beast Pirates. Since Punk Hazard, Luffy has already put his mind that he will defeat Kaido, so for now anything else doesn’t matter for Luffy until he beats Kaido.
The story is still developing, and I personally don’t see how it’s not possible for Yamato to finally meet and bond with the crew. Oda has something in his sleeves that he intentionally delaying Yamato’s meeting with the Straw Hats, especially that CP0 are on the move to capture Robin. It involuntarily means like Yamato “bonds” with Momo for the last time, before she finally sets sail to the sea with Straw Hats.
Worth noting that Momo is also an adult now, he has Kaido’s SMILE DF, and he has the 9 red scabbards as his retainers. Slim to no point for Yamato to stay with all the evidences that points towards Yamato leaving and joining the crew instead of staying.