Hi Mikey,
I don't(actually I won't) do outdoor gigs, but I can tell you that the bass needs something to bounce off, so you wouldn't have that issue, even in a large enclosed space.
I use two L1 systems all the time, in stereo, but I'm sure this would apply to only one as well.
Ian
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Yamaha Tyros4, Yamaha MS-60S Powered Monitors(2), Yamaha CS-01, Yamaha TQ-5, Yamaha PSR-S775.