I went to the BITOG forum and looked up the thread. The guy in question had a bottle of Valvoline in his shed for fifteen years and had a deposit at the bottom. A lubriicant engineer said it was the additive package settling out after all those years, aided by sitting undisturbed and perhaps by the temperature cycles. Sort of like the chocolate in chocolate milk, given enough time.
It did not "solidify." If it did, why wouldn't it "solidify" in your engine during ten days in the airport parking lot in the middle of winter or summer? And I'm not talking about pour point here.
Seeing as how suspended solids will eventually settle out, four years doesn't seem unreasonable. I might shake the bottle now before use, and I wouldn't have done that before. One BITOG claimed oil companies state a shelf life of two years.