Bro I'm sorry but nobody calls either of those things apple sauce or applesauce. Now you're going to get into something about how the 3 families immediately around your Doylestown childhood home did. Whatever, nobody does and if they did then it's still extreme cope.
To the extent we were still exposed to southeastern Pennsylvania farm country apple butter was a thing, that’s the “Pennsylvania Dutch” German heritage, but no, it wasn’t thought of or used as a sauce.
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