Like the above posters said, no harm in removing it.
That said, you should try to destroy it. While the video transmitter is a decent unit and displays voltage (all you really need) without a full blown OSD, the 1000tvl camera is not. It works fine until you point it at the sun or it starts to get dark and you point it at a light of any type. It shadows out very badly.
If you are trying to learn to fly it line of sight, you should unplug the video transmitter but not to save the camera. Do it so you can remove the antenna and save yourself 15 bucks a pop to replace them as they break or get damaged. When you start flying FPV, replace the camera with just about anything. I use a runcam. Much better at handling light transitioning. The fatshark camera works well too. I prefer the runcam because the owl series works great in low light too. i like to fly after the sun goes down and it cools off.
Also scrap the props that come with it and get the Dal 5040 tri blades. The basic ones, not the stiffer cyclones. You can just bend them back out and keep flying, will save you a lot of time and money while you learn. When you are ready for more speed, get the stiffer props.
I am pretty sure the pro comes with 20a ESC's. Stick with the 3s batteries until you are ready for more speed, then go to 4s. Very noticeable difference. Will not need to change anything but the battery.
When it is time for new motors, i highly recommend the Emax 2305 race series. They are older so go for about 10 dollars each but it is a very big upgrade from the motors that come with the falcon. The 20a esc's will be fine for them as long as you do not use a prop with a lot of pitch or longer than 5 inches. It will take you from about 700 grams of lift to 1100 grams per motor. Anything bigger and you will probably need 30 0r 40a esc's.
