Then it should show up randomly, even during the first layer print right? He coud test that by heating up the extruder, then while watching the temp curves, move the print head around the manually. If it's a loose connection he should see it momentarily drop.
Not only that if it's a loose connection it would drop, then rise then drop, as the connection would be intermittent. But this is not how he describes it.
"The extruder and bed reach proper temps,but when I hit run, it will run the first layer ok. Problem is, then the extruder temp starts dropping and all stops due to cold extrusion error.The indicator on the heat extruder button is still on tho."
I still think it's setting relegated, maybe something weird like this

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To print or, 3D print, that is the question...
SD3 printer w/too many mods, Printrbot Simple Maker Ed., FormLabs Form 1+
AnyCubic Photon, Shining 3D EinScan-S & Atlas 3D scanners...
...and too much time on my hands.