Yes. That is correct.
It basically means “we are aware/ticket processed” as far as we customers are concerned.
Zendesk is just a customer support tool, it’s fairly configurable from what I understand but it seems that in this case the choice has been one simple classification (“Solved”) to the customer facing side rather than alternatives like “in progress” or “escalated”
If you look at the Dev Updates the various bugs/wishes etc do actually seem to have more classifications internally.