Maybe it's different over there, but they took a sizable chunk (about the size of a pencil eraser) with my colposcopy. They found more bad cells and took another chunk with the LEEP. I had a baby 2 1/2 years later. I was quite worried that my cervix had been weakened but all was good. My cousin had another problem where some scar tissue after the LEEP prevented her cervix from opening properly when she had here baby. The made some cuts in the scar tissue to allow it to stretch and all was good after that as well.
As expat said, it has nothing to do with fertility, just something to make sure the medical people know about incase there is a concern.
No, it's no different. The colposcope is the camera. The sample they take is the biopsy, which is done at the same time the healthcare practitioner has a look at the cervix w/the colposcope. Sometimes, a person can have a colposcopy, and the colposcope doesn't show any abnormalities, so no biopsy/cell sample it taken.
LEEP does not effect fertility either,
most of the time. Multiple LEEPs, however, may, or LEEPs where the doctor has had to go quite deep or near the endocervical canal to remove the abnormal cells. I had a LEEP and had no infertility or problems w/the cervix.
Not getting cervical cancer is another bonus.

What can affect your fertility is a 'cone biopsy'. This is when the abnormal cells are found in the endocervical canal - the opening in the cervix that allows sperm to pass into the uterus and which dilates during childbirth. These cells are removed by artificially dilating the cervix and removing the abnormality w/a laser. Sometimes, this can cause scar tissue which serves as a barrier to sperm entering the uterus and Fallopian tubes. This is how the actress Brooke Shields became infertile and needed IVF to conceive. Sometimes, too, a women may need to be monitored for cervical incompetence if she becomes pregnant after a cone biopsy.
A colposcopy is an effective way of getting a better look at suspected cell abnormalities w/o compromising a woman's reproductive health at all.