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It seems like all that is missing to make this an example is to add a \addbibresource line. But I can't reproduce any problem then, so there is probably something else in your actual document that really causes the problem. I think you know what to do to make it possible to help you.

The style authoryear-icomp that you are using is a style "combining authoryear-comp and authoryear-ibid" to quote from the documentation, so if you don't want ibid , this is not the style you are looking for.

If you want an author-year style the standard ones to choose from (without ibid ) are ...