Prevent a gutter icon from becoming a Zombie

I have an ExternalToolPass that creates gutter icons based on loading remote data from an API. When editors are destroyed and revived by the Zombie/Necromancer system, the gutter icons flash in and you can’t interact with them and they then disappear again since the data is not present in the local caches.

Is there a way I am overlooking to tell the HighlightingNecromancer to skip those gutter icons? Do I need to make a custom HighlightSeverity with a low level (<10) level, what are the ramifications of doing that?