Gee, I don't think Aragorn made the wrong choice by leading the party to Lothlorien, and afterwards down the Anduin, afterall, that was what they were sent to do anyway.
In fact, after Moria, there is absolutely no way back, since they were already being pursued by the orcs that sought redress for the death of their beloved captain. Lothlorien would be not just a logical step in their path, but a necessary one.
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