I prefer a weapons mounted light...
I am not a SEAL or DELTA or even a LEO. However I am a person strongly invested in my own life, and firearms. I have land where I can and do practice shooting at night.
If someone else chooses a hand held light, more power to them, they both work the same way... however I prefer to have both hands on the gun. I do not feel 100% comfortable with self defense shooting with only 1 hand on the gun if I can have two.
I think it is important to know how to properly use a light, and use it with a pressure switch for quick searching, rather than to leave it flipped on. I would bet most of us live in rather normal homes, and don't need to search or shoot across a basketball court sized room. Yes lights can "give away your position" but my posotion most likely is going to be locked in my bedroom with the police on the phone. Even still... I would bet based on most of our homes.. theres going to be a lot more things that give away our position. Creaking bed frames, floor boards, stairs.. night lights, our footsteps. Even the motion of our bodies, in a dark quite situation, is pretty easy to detect motion.
Personally I am not a super Delta team six bravo ninja.... nor do I suspect that super delta team six bravo ninja's will be invading my home. Be prepared to defend your life the way YOU see fit. I laugh and shake my head when guys argue against using tritium night sights because they will give away their position because in my head I picture my average customer who is a 30-50yr old heavy set beer drinking football watching man trying to tip toe in his super delta team six bravo ninja pajamas covered in molle and velcro and be totaly stealth that a tiny faint green dot would give him away first.