When working on multi-sites that have a lot of fields (probably most of them) there's no easy way to confirm what fields are translatable without going in and checking each one.
It would be great if the icon used when the field is rendered is actually displayed in the fields area under settings.
This would allow you to just glace at which fields aren't or are.
It'd also be nice if the "Use this field’s values as search keywords" setting was exposed in that list.
Just made this change for the next release.

Craft 3.5.9 is out now with this change.
Looks like this might be bugged - all the fields on my install are showing the search icon, but 90% of them aren't searchable


@darylknight That was reported in #6808.
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Just made this change for the next release.