Apart from all the comments so far, Bose has always seemed to illicit love/hate relationships, as in you either love them or hate them.
Personally I have used Bose in adverse conditions (outdoors comes to mind) and situations where distributed sound and excellent speech intelligibility was necessary. I have worked in a few places with Bose setups in clubs and such and was usually less impressed with the sound.
The L1 I have heard once or twice and they seem like nice speakers. More and more systems are entering the market based on a sub/low end speaker with either a column array like the L1 or a more “satellite-like” top speaker based on an array system.
There is a definite advantage to using array-based systems. Better front/back sound dispersion to name one. Portability being another.
Again, it’s not “my” brand, but since you own 1 already, it makes sense not to disinvest by going another direction.
The only thing you might consider is image. Depending on your gigs, the crowd might have an expectation of what a PA should look like. And with all that it is, the L1s look more like hifi speakers than a full fledged PA.