Yes, it seems much too soon. I'm convinced you must have some phantom load somewhere, even if you haven't found it. To find that phantom load, you really need digital voltmeter, set to the DC current range. Remove the positive connector from the battery, connect the DVM's red probe to the now-empty battery post, and the DVM's black probe to the connector that you just removed from the battery. Now the DVM will show you how much current is being drawn from the battery - and I bet it is not zero.
Now, while you monitor the current with the DVM, open up the converter's front panel, and pull the fuses one at a time. This will tell you which circuit is the culprit. You may find that there are several circuits contributing to the problem. There are many phantom loads in any RV, including the TM.
If you don't have a DVM, they are available in many places, for very little money for a simple one. If you have a Harbor Freight near you, it might be $5-10. Or a big box store or WalMart might run $10-15.
Bill
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