No, one looks just like an ordinary parallel twin. That just refers to the crank orientation - 360 means the pistons rise and fall together but fire opposite each other, one firing every 360 degrees of crank rotation. 180 means one piston is rising while the other is falling and they have a non-symmetric firing order, one fires then 180 degrees later the second fires, then 540 degrees when none fire.
AFAIK, each had their plusses and minuses.
Nowadays, Triumph makes a large twin with a 270 degree offset, which is supposed to give a sound more like a V-twin. Yamaha's TDX850 (a non-US variant of the TDM-850) of the mid-90's was the same.