Yes, and hosted channels are a very good use case for chaumian ecash. Everything you know about HC's stays the same with the difference that the host gives you ecash instead of tracking your balance in a database. You can then exchange this ecash with other HC users or just use them for making payments over the channel without the host knowing about you.
"Host tracking" balance the same way LN node does with regular channel. However, is ecash token really stateless? I doubt host shouldnt ensure accountability.
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