Game Speed

I stay in hotels quite a bit, and am subject to slow wifi speeds. I have an Xbox one game system. I play Call of Duty almost exclusively. I understand game lag and all the unplesantries associated with slow internet. I believe I am suffering from something
else. There is almost no situation in which I can win a one on one gun battle. I have actually developed a dive first shoot second strateqy in order to combat this short coming. To give you an example, If I come face to face with an opponent and I draw down
on them...there will be a delay in which my weapon will not fire even if I pull the trigger twice. It gives the opponent time to get a clear shot on me. For the most part, enemies that see me from a distance see me first and can usually kill me before I have
a chance to fire. On the odd occasion that I get the drop on them...I find that my shots pass right through them, or I have to lead them terribly so they can possibly run into my field of fire. This is terribly frustrating to say the least. My k/d ratio is
a joke. One would think that this would all be chalked up to slow internet. I always check the detailed statistics of my internet connection no matter where I am. I am home now and have a connection speed in excess of 200mbs download and 30mbs upload. Even
though the speed should be in my favor now...I find that the performance has not changed one bit. If it were just me, then I could probably draw some kind of sensible conclusion, but I have let friends play just to make sure I'm not just being paranoid. The
people{who have their own Xbox one game systems experience the same thing when they play on mine. All they can say is "I don't know what to tell ya". I have no clue what is going on. Can someone please help with this?

:)