Try softproofing for sRGB in the Develop panel. With these sort of tones, it is not unlikley you're outside of it and you can get significant shidts if your display is able to display colors outside of it. The sort of seafoam green you see here is notorious for that. Also make sure you haven't gotten HDR enabled. That can have significant effect on the SDR display version (even when working on SDR displays) that you would see on export or in Library. Lastly, when you have noisy images, you can get subtle shifts between Develop and Library because the scaling algorithm is different in Develop vs Library. This is a very common issue when using very low resolution screens like you have here.
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