The hair will thin out, not get thicker. The bad part is if you get electrolysis, it will become more difficult. Plucked hair does not always grow back straight, making it more difficult. If you are only going to have laser, then it's fine, but laser pretty much only works on light skin with dark hair. If you have any gray, you will need electrolysis to get them all.
Also, plucking the neck and mustache HURTS!