Just searched it in the Mega 2022 and amazingly I can't find any either with the e3 line... remember a live video of some blitz wch where he was playing this line aggressively as white against someone.
But then again, my brain reeks of acute memory delusion syndrome so I may've been wrong.
Recently the (rather rare) line with (1.d4 Nf6 2.c4 e5 3.dxe5 Ng4) 4.e3!? Nxe5 5.f4 has become very popular at ICCF, and Black is scoring miserably.
Compared to Alekhine's line 4.e4 Nxe5 5.f4 etc, keeping the pawn back at e3 does have certain advantages.
Indeed, it's been tried quite successfully in several games by Mamedyarov.
Really? These games must be well hidden then, as I do not know a single game played by the Shark in this line, with either color.