This wouldn’t override the Otherworldly Senses of Kua-Toa, right?

I’m planning a cavern crawl using them because our Twilight Cleric overuses her invisibility but forgets about all her other pretty damn great features. My plan is to take this edge away from her and get her to figure out how to better use her character (there is another DM in the party who can coach her if necessary but I don’t want to clue him into what I’m doing). 
She’s no noob, she has been quite inventive with her  previous warlock character but just seems to have difficulty acclimatising to her new class (and lower level as it’s a new game)

Since Greater invisibility requires concentration, I think the caster cannot take other actions, but the person whom they cast it on ( other than self ) can. No?