You do not have them in your mouth or thraot.
You don't have to have genital to genital contact in order to contract genital warts. They are cause by the human papilloma virus. Once that is in your system (from oral sex), it can cause the warts to form.
I cut and pasted this from a website:
Genital warts are transmitted through sexual contact (anal, oral, and vaginal) with an infected person, and warts can appear within several weeks or months afterwards.
The virus is passed through skin-to-skin contact, but not everyone who's been exposed to the virus will develop genital warts.