Impacted bottom molars. Should I remove all four?

My dentist advised me that I should remove all 4 of my third molars / wisdom teeth so as to maintain “balance and symmetry” do you think it is necessary? Or is she just trying to get as much cash out of me as possible? (Extracting a wisdom tooth is hella expensive) Also, she advised that I remove one side at a time instead of on both sides so that I can be able to chew. Is this necessary as well? My Xray is attached above. (Also, that is my septum piercing incase you are wondering)

My dentist advised me that I should remove all 4 of my third molars / wisdom teeth so as to maintain “balance and symmetry” do you think it is necessary? Or is she just trying to get as much cash out of me as possible? (Extracting a wisdom tooth is hella expensive) Also, she advised that I remove one side at a time instead of on both sides so that I can be able to chew. Is this necessary as well? My Xray is attached above. (Also, that is my septum piercing incase you are wondering)