If more alien reputation systems are added, why not just use the other existing alien factions? They won't probably won't have a "base" but we already have some known relationships between them.
The Rozitals are allied with the Arirals, and they even try to protect the few arirals we meet that are just having a vacation on earth here from a threat.
The Grays are hostile to everyone, so could you even try to get on their good side? (IF they even have one.)
The next faction to show up isn't here yet, so we will have to see what they are like. They do have some kind of relation with the grays, don't know if good or bad.
..Could you even try to reason with an autonomous alien construct that shoots you on sight?
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True, that is a good idea, however the relations between these factions seems like it's predefined, so if one wants to combine them (like getting ariral reputation increases rozital reputation but lowers grey reputation and vice versa), it would remain predictable. Though such interconnected reputation between the factions would still be a cool balancing act as long as there's a tradeoff.