It maybe just me, but I never found a web host accepting Liberty Reserve as one of their payment options. What wrong with this payment processor? I notice though that LR mostly used by HYIP sites.
I know of a few web hosts that accept LR (BurstNET, HostLatch, few others). It's just not that popular I guess. I've never even used it or considered using it honestly.
HYIP sites are often not allowed with a lot of shared web hosting companies (ourselves included). If you check the TOS of most of the larger hosting companies you'll find HYIP and similar type programs are not allowed on their servers, thus no reason to accept Liberty Reserve