I had cryosurgery after a colposcopy found precancerous cells. I am so glad I had it done--my subsequent paps have been cleared. The conservative OB I was seeing at the time prescribed beta mannan to help eradicate the HPV, and that's gone, too, possibly just naturally over time.
In terms of impacting fertility--
The cryo did leave scar tissue on my cervix, and I stopped producing EWCM. The best I would get was just a little stickiness. So for charting, I had to be rigorous about temping, and considered myself fertile from day one of AF until 3 days after the thermal shift. We used FAM for a few years while TTA.
Then, when we were TTC I started worrying that my lack of EWCM would be a problem, so I used EPO, grapefruit juice, flax seed oil, and Mucinex to make my cervical fluid as copious as possible. It actually worked to increase things, not back to normal but I would get small amounts of EWCM.
It took 6mos of trying for us to get pregnant the first time. That pregnancy ended in miscarriage (unrelated to my cervical issues). I got pregnant with my daughter 6wks after my emergency D&E.
I had ruled out homebirth b/c the doctor who did my cryo said that the scar tissue might rule out vaginal birth. Thankfully my dear friend suggested I ask a homebirth midwife about it. She said that she could manually break up the scar tissue if necessary. Well, my labor was under 8hrs so it was never even an issue.
I got AF back at 4mos with DD, and after the first few cycles I noticed something amazing--I had "normal" EWCM again

The birth took care of the scar tissue and my cervix healed normally, I guess.
We got pregnant this time on the 2nd cycle of trying after about a year and a half of FAM to TTA.