d-pawn and e-pawn in Gothic Chess

Perhaps an advance of both the d-pawn and the e-pawn prior to castling in Gothic Chess is not ideal. With an advanced d-pawn, is the e-pawn best held back?

As White in the following game (https://www.chess.com/variants/gothic-chess/game/22855376/9/1), I advanced my d-pawn and held back my e-pawn whilst exploiting the fact that Black pushed both his d-pawn and e-pawn forward:

1 d4 d5 2 f3 f6 3 Nh3 e5 4 dxe5 fxe5 5 Ac5+

5 ... Ae7? (5 ... Qe7) 6 Axe7+ Cxe7?? (6 ... Qxe7) 7 Bg5 1-0

Pushing both the d-pawn and e-pawn in the early stages may not be decisively disadvantageous, but it can certainly create potential vulnerabilities. I do not regard 3 ... e5 as a mistake, although, in the vein suggested by NuclearLightning, perhaps ... Nc6 should precede ... e5.

It seems I have yet to fully appreciate the potential danger along the a6-f1 diagonal. As White in this game, I advanced my d-pawn and e-pawn and placed my chancellor on d3 before castling. The result was that my chancellor was pinned by Black's 6 ... Ba6.