I dont' use better bottles so I will default to someone who does. However, I do us a plastic spray bottle to keep my k-meta solution in so I can give a quick spray to tools that need it. It keeps just fine as and doesn't react with the plastic in any way.I would assume that the same would hold true for a better bottle.
Again, I don't use better bottles so my resonse is simply an educated guess. I'd wait to hear from someone who uses them.
Monty