Obviously, I don't think anime editor want to scream lesbian sexual innuendo from the roof top. But I feel that Jojo interpretation seemed to be really forced in this case.
(frankly, it was a bit like how AoT fans keep thinking that other anime was influenced by AoT)
Firstly as mentioned, the music indicating the nail clipper supposed to be a joke punchline, instead of foreshadowing or screen interpretation. When i watched it, I thought the punchline was: we thought it was something important to the plot, but instead it was just a random thing. But that does not explai why it is a nail clipper
Secondly, one thing that everyone universally agree with in ep 7: Cocona created a bunch of Papika identity, and she was 'lost' over selecting which Papika she want to be with. That does not fit in the Jojo narrative of the nail clipper. As she was not resisting to maintain the status-quo (relationship real Papika), she was confused over whether she want the status-quo. Those two theme almost opposite to each other
I would pay good money to see the anime editor scream lesbian sexual innuendo from a roof top.
That aside, I don't think she was selecting between the different Papikas, so much as her mind unwittingly conjured progressively changing Papikas, representing her evolving relationship with her. When she says she wants the "real" Papika, presumably she means she's afraid of how her feelings toward her are growing and changing, and desires the safety of the past Papika to whom she lacked a romantic attraction. My greater point here is that Cocona was not "confused" as to whether or not she wanted to maintain the status quo. The status quo was already rapidly changing beyond her control, and for the time being she resisted. The nail clipper could represent nothing, or it could, indeed, represent Cocona's fear of change.