Disable My Filters / Save Filters on a GridField backed by a Record Type

I am using a record type to back some read-only grids via a!recordData. The grids both use the same record type, but with different queryFilters passed into a!recordData. Both instances need to show the OOTB search box, but I need to disable the "My Filters" view and the "Save Filters As..." feature to avoid users getting confused. Furthermore, the application of a saved filter as default will be applied to both instances of the gridField, which is something we must avoid.

Is there a way to disable My Filters / "Save Filters As" while retaining the OOTB search box? Else I would need to build a custom search.

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