Jerome Gambit: Is Black's King Actually Safer At d8?

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The following Jerome Gambit (1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+) revolves around the question: Is Black's King actually safer at d8? For a while, the surprising answer seems to be Yes, but quickly - this is a 1 0 bullet game - a resounding No takes its place.

angelcamina - traan
1 0 bullet, lichess.org, 2020

1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ 

4...Kxf7 5.Nxe5+ Nxe5 6.Qh5+ Ng6 

7.Qd5+ Kf8 8.Qxc5+ Qe7 9.Qe3 

Recently, White avoided the retreat, with two different outcomes:

9.Qxe7+ N8xe7 10.O-O Kf7 11.Nc3 Rf8 12.d3 Kg8 13.Bg5 Nc6 14.Nd5 d6 15.Nxc7 Rb8 16.Nd5 Nd4 17.c3 Nc6 18.f4 Bg4 19.d4 Be2 20.Rf2 Bc4 21.b3 Bxd5 22.exd5 Nce7 23.c4 Nf5 24.Re1 Nxd4 25.Be7 Nxe7 26.Rxe7 Nf5 27.Re6 Rbe8 28.Rxe8 Rxe8 29.g4 Re1+ 30.Rf1 Rxf1+ 31.Kxf1 Ne3+ 32.Ke2 Nxg4 33.b4 Nxh2 34.c5 dxc5 35.bxc5 Ng4 36.c6 bxc6 37.dxc6 Nf6 38.c7 Kf7 39.c8=Q Nh5 40.Qc7+ Kg6 41.Qxa7 Nxf4+ 42.Kd2 h5 43.Qa6+ Kg5 44.Qa5+ Kg4 45.a4 h4 46.Qa8 h3 47.Qh1 Kg3 48.a5 Ne6 49.a6 Nc7 50.a7 g5 51.Qb7 h2 52.Qxc7+ Kg2 53.a8=Q+ Kg1 54.Qc1+ Kf2 55.Qf8+ Kg3 56.Qfa3+ Kg2 57.Qc6+ Kg1 58.Qg3+ Kf1 59.Qcf3 checkmate, Anonymous - Beatboxer47, 3 3 blitz, lichess.org, 2020; and

9.Qxc7 Qxe4+ 10.Kf1 Nf4 11.Rg1 Qe2 checkmate, ianfencer - Evern, 1 0 bullet, lichess.org, 2020. 

9...Nf6 

Or 9...d6 10.O-O Nf6 11.d3 Kf7 12.Nc3 Rf8 13.f4 Kg8 14.b3 c6 15.Ba3 d5 16.Bxe7 Nxe7 17.e5 Ng4 18.Qg3 Nh6 19.d4 Nef5 20.Qd3 g6 21.h3 a6 22.g4 Ne7 23.Rae1 Be6 24.Na4 Kh8 25.Nc5 Bc8 26.f5 gxf5 27.gxf5 Bxf5 28.Rxf5 Nexf5 29.e6 Rg8+ 30.Kh2 Rg3 31.Qe2 Rag8 32.Qe5+ R3g7 33.Rg1 White won on time, angelcamina - albatronus, 1 0 bullet, lichess.org, 2020.

10.Nc3 

Or 10.d3 d5 11.O-O dxe4 12.dxe4 Qxe4 13.Qa3+ Qe7 14.b4 Be6 15.Re1 a5 16.c3 Kf7 17.Be3 axb4 18.Qb2 bxc3 19.Nxc3 Rhe8 20.Bg5 Qa3 21.Qd2 Rad8 22.Qc2 Bc4 23.Bxf6 gxf6 24.Ne4 Bd3 25.Qxc7+ Qe7 26.Qxe7+ Rxe7 27.Rad1 Red7 28.Nc5 Rd5 29.Nxb7 Ba6 30.Nxd8+ Black resigned, Atti0130 - smarlny, 5 0 blitz, lichess.org, 2020.

10...d6 11.O-O 

Alternately, 11.d4 Kf7 12.O-O Re8 13.f4 Nxe4 14.f5 Nf8 15.Nd5 Qd8 16.Qb3 Kg8 17.Nf6+ Black resigned, croc_master - Krog, 3 0 blitz, lichess.org, 2020. 

11...Ke8 

Black believes his King will be safer on d8. He plans to bring his Rook to e8 to pressure White's e-pawn.

12.d4 Kd8 13.f4 Re8 14.e5 dxe5 15.dxe5 

15...Ng4 16.Qg3 Qc5+ 17.Kh1 h5 

Black pushes his attack, even as his King sits on an open file.

18.h3 h4

Following the advice, If someone attacks one of your pieces, attack one of his, a more valuable one if possible. 

19.Qf3 Nh6 20.f5 

The "Jerome pawns" are on the march.

20...Nxf5 21.Qd3+ Bd7 22.Rxf5 c6 23.Rf7 Re7 24.Bg5 

Black's King is no longer safe.

24...Nxe5 25.Bxe7+ Qxe7 26.Rxe7 Nxd3 27.Rxd7+ Kxd7 28.cxd3 Kc7 

29.Rf1 Rd8 30.Rf7+ Kb6 31.Na4+ Kb5 32.b3 White won on time