I'd never come across "toss and wash" before reading this forum - it sounds just plain wrong - I enjoy the anticipation in mixing up a batch, but it did remind me of the singularly most disgusting kava drinking antics I have seen. It was in Vanuatu and an Australian army dive team had come over to help us lay an undersea water pipeline to a small offshore island off Malekula. They were basically a bunch of rednecks who didn't have a clue about Vanuatu, so I thought I'd introduce them to a nakamal one evening. They had a couple of shells each, being really noisy and attracting the attention of everyone in the nakamal, and then stood in a circle until one of them puked their kava back into the shell. He then passed the shell, overflowing with regurgitated kava, to the next guy who repeated this until the circle was complete. They called it "playing pelicans" - some kind of military bonding thing. The local guys couldn't believe what they were seeing and I slipped away to avoid being associated with them.
I guess compared to that "toss & wash" is OK.