I had electrocautery to remove genital warts, should my partner do the same?

I had undergone electrocautery for genital warts some weeks ago and have follow ups as well. As of now my Dr said that my wounds from the surgery have healed good and also just had my pap smear results and it was negative or normal however suggestive of bacterial vaginosis. I am currently on antibiotics for bv. My concern is the Dr doesn’t want me having sex with my partner who still has genital warts. The Dr is also intent on doing the electrocautery for my partner too but i think he is hesitant. My question is if my partner chose not to do the surgery, will i get genital warts again? Are we just going to pass it to each other back and forth? Please help…

Age: 29
Female
Medications: Metronidazole vaginal suppository