If it stops them thinking the days are getting shorter, it can prevent a molt and keep them laying. If they are already laying you do not need to make the days longer, just stop them from getting shorter.
Probably if you make them think the days are getting longer. Keeping the days the same length is not that much help. This is not something that is a 100%, absolute, no question about it thing. It is something that can improve your odds quite a bit but does not come with a guarantee.
You can if you want. It is after the winter equinox, your days in Florida are getting longer. Right now that increase is pretty slow but it will speed up as you get later in the new year. I have no idea when your pullets will start laying if you let nature take her course. I have no idea how many it will kick-start into laying in the next few weeks if you extend the lights.
Even if I knew something about your golden comet and your circumstances I would not know. People like to think this is all cookbook, every chicken in the world will react exactly the same. It doesn't work that way. I've had pullets start laying the first week of December more than once and I use natural light, no supplements. The day were short and still getting shorter which goes against the "rules". Chickens molt at any time of the year, not just in the fall when days are getting shorter. Different things can trigger a molt, not just the days getting shorter. Maybe it shows how complex they really are.