Description of the need
When adding a context by path, every field available to the context is presented in the dialog box. This not only produces un-necessary clutter but creates a bad UX because the field chosen may be attached to a different entity type, making it easy to accidentally add a similarly named field that won't display data as expected because it doesn't belong to the given layout path provided in the context.
Additionally, not filtering on a given criteria might also a performance hit on larger sites that have hundreds of fields. By limiting through the selection rule, it reduces the number of fields that need to be loaded.
Proposed solution
Add Selection Rules so a context can be limited to only show the fields related to the rule.
Alternatives that have been considered
See the Drupal Panels module Selection Rules for more inspiration.

Recent comments
As I work through things I flush the caches after every change I make. As far as I can tell I have the custom module in the correct place (/modules/custom/fix_zero_search) and the file...
custom module not showing up in modules list
If you haven't already, flush all the caches. If it is in the modules folder whether directly or in a custom folder it will show up. If not, something else is wrong with your site; check...
custom module not showing up in modules list
Awful idea! That's not how modules get installed! The number in db indicates the installed state and schema version. You're not supposed to fiddle in the database directly. There's an...
custom module not showing up in modules list