Update on my February ER visit and Liberty Heathshare:
The Hospital in Texas billed Liberty $7K+, and this was negotiated (aka "repriced") by Liberty to $1168. My annual family deductible (unshared amount) is $1K, so the remainder of the bill, $168, was paid by Liberty members as part of their monthly sharing. In all this I was never contacted by the hospital directly, and it appears that Liberty did its part to reduce the original bill to a more reasonable number.
Of course that begs the larger question: why the heck do hospitals get away with their phony pricing schemes in the first place?