IMO when naming works like these we need to balance three elements: the score; the catalogue (for main works); and ease of location when searching. IMO the most important is common usage combined with ease of location, but retaining as much score info as possible. I suggest the following.
For the BWV 988 main work I would use “Goldberg-Variationen, BWV 988” as is in MB already, representing common usage and the catalogue in IMSLP, but I would consider adding an alias of “Aria mit verschiedenen Veränderungen vors Clavicimbal mit 2 Manualen” representing the score title.
For the movements I would use the style “Goldberg-Variationen, BWV 988: Variatio 1. a 1 Clav.” as in the score and IMSLP but in addition I would include an alias of the style “Goldberg-Variationen, BWV 988: Variation 1” to help the search engine locate the correct movement.
IMO these are a reasonable compromise.
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