Some ideas on working with citation modifiers in Google Docs:
Suppress author is super, but it would also be great to have suppress date and/ or to format as Author (date) in the text, which is normal in many disciplines (especially the social sciences).
Exclude brackets. Sometimes there is a need to exclude brackets, especially when listing references in a table.
Forgetting modifiers. I don’t see the use case for remembering modifiers. As Paperpile is at the moment, if I cite (see Smith, 2000 p.3), the next time I want to cite the Smith 2000 paper, the “see” and “p. 3” will be included by default. I have never had the need to include the same modifiers the next time I cite a reference and always have the extra work of deleting my modifiers. I suggest that each time a reference is cited, the modifiers are zeroed out as the selected modifiers, if any, are likely to be different.