I think fanciful pseuds would be interesting and perfectly suited to the theme of “imaginary games from imaginary universes”. It could be used to work “in-character” within the conceit (e.g., writing a “sequel” to the imaginary game “Ludonarrativia” by Studio eQuill, one might submit a game as “Studio eQuill” or something), or used as another avenue of um… peripheral commentary (the way that titles and blurbs can be used), or to reimagine the author as a denizen of the imagined universe (e.g., for a “fanfiction game” of an imaginary game created for Martians, maybe a made-up “Martian” name that may or may not obviously be a version of your actual name/handle). Or just for miscellaneous puns and funs. The possibilities are appropriately endless!
How closely related should our games be to the original review? As it is, my game only has surface similarities to its inspiration. I could try to add more elements from the review but I think anything I add will likely feel tacked-on…