Could you share some examples of Swiss being cozy with the Nazis? Wikipedia seems to make the counter case [0]. Switzerland did trade energy with Nazis - but they were dependent on Germany for their coal needs. Switzerland also kept the gold Nazis stuffed in their country-but that is OK I think for a neutral country.
Switzerland let in their country (and thus saved the lives) of some Jewish people. They also hosted Allied airmen. They hosted the famous Lucy spy ring - which helped Russians incommensurably.
To me it seems the Swiss helped the Allies more than can be expected from a neutral country, not to mention they were completely surrounded by Axis powers.
[0] https://en.wikipedia.org/wiki/Switzerland_during_World_War_I...