It does. While most omni-directional antennas should easily be able to handle a spread of 6-8 degrees, it really depends on each unique circumstance. The further away you live from the towers, the harder it is to account for directionality as well.
The best omni/multi directional performance will be from antennas with positional bays like this one:
With these, you can tweak the sections for the best possible performance which isn't possible with the flat style antennas.