Global and resource-specific @ServerExceptionMapper?

[rgmz]

When using an external dependency such as a database client, there can be a mix of resource-specific (e.g., constraint violation) and general (e.g., connection error) failures. Is it, or can it be, possible for a resource-specific @ServerExceptionMapper to propagate an general or unhandled exception to the global instance?

Contrived Example

When ArithmeticException("A generic error occurred!") is thrown, it would be ergonomic for it to be caught by ExceptionMappers#mapException.

(ArithmeticException is a placeholder for your typical database or external dependency exception.)

// ExcemptionMapper.java
public class ExceptionMappers {
    @ServerExceptionMapper(priority = 1)
    public RestResponse<String> mapException(ArithmeticException ex) {
        return RestResponse.status(Response.Status.NOT_FOUND, "Something math-related went wrong: " + ex.getMessage());
    }
}

// GreetingResource.java
@Path("/hello")
public class GreetingResource {

    @GET
    @Produces(MediaType.TEXT_PLAIN)
    public String greet() {
        if ( Math.random() < 0.5 ) {
            throw new ArithmeticException("A greeting-specific error occurred!");
        } else {
            throw new ArithmeticException("A generic error occurred!");
        }
    }

    @ServerExceptionMapper
    public RestResponse<String> mapException(ArithmeticException ex) {
        if (ex.getMessage().contains("generic")) {
            throw ex;
        }
        return RestResponse.status(Response.Status.NOT_FOUND, "The numbers didn't work out: " + ex.getMessage());
    }
}

[rgmz]

@FroMage If I understand #48654 (comment) correctly, the answer is that it isn't currently possible but might be in the future?