Analysis by Stockfish 260820 NNUE:
...
1.h4 h5 2.Ne2 Na5 3.Nf4 Nc6 4.Qg5 Qe8 5.g4 hxg4 6.h5 Nh7 7.Qxg4 Nf6 8.Qg5 Nh7 9.h6+ Kg8 10.Qxd5 Ne7 11.Qe5 Nf5 12.Ba3 Ng5 13.Kf2 Kh7 14.d5 b5 15.Nh5 gxh5 16.Qxf5+ Qg6 17.Qxg6+ Kxg6 18.Kg3 Kf6 19.Kf4 Nh3+ 20.Ke3 Ng5 21.Kd4 h4 22.Bd6 h3 23.Be5+ Kf5 24.e7 Nf3+ 25.Ke3 Nxe5 26.e8Q Ng4+ 27.Kd4 Nxh6 28.Qh5+ Kf6 29.Qxh6+ Kf5 30.Qxh3+ Kg5
+- (7.09) Depth: 38/73 00:03:21 1155mN, tb=414135
1.h4 h5
+- (7.01 --) Depth: 39/54 00:03:22 1158mN, tb=414937
1.h4
+- (7.09 ++) Depth: 39/56 00:03:45 1298mN, tb=494330
1.h4 h5
+- (6.92 --) Depth: 39/56 00:03:58 1377mN, tb=528681
1.h4 h5
+- (6.75 --) Depth: 39/56 00:03:58 1377mN, tb=528705
1.h4 h5
+- (6.50 --) Depth: 39/56 00:03:58 1378mN, tb=528717
1.h4 h5
+- (6.17 --) Depth: 39/56 00:03:58 1380mN, tb=529574
1.h4
+- (6.44 ++) Depth: 39/59 00:04:01 1396mN, tb=538001
1.h4
+- (7.00 ++) Depth: 39/60 00:04:07 1434mN, tb=555552
1.h4 h5 2.Ne2 Na5 3.Nf4 Nc6 4.Qg5 Qe8 5.g4 Nh7 6.Qxd5 Nf6 7.Qg5 Nh7 8.Qb5 hxg4 9.Qxc4 Kh6 10.Bc1 Ne7 11.d5 Nf5 12.Ng2+ Kg7 13.d6 Nxd6 14.Qd4+ Kg8 15.Qxd6 Nf6 16.Nf4 Qf8 17.e7 Qf7 18.Qxf6 Qxf6 19.e8Q+ Qf8 20.Qxg6+ Qg7 21.Qe8+ Qf8 22.Qe6+ Qf7 23.Qc8+ Kh7 24.h5 Kg7 25.Kg2 Kf6 26.Bd2 Ke5 27.Kg3 Kd6 28.h6 Ke7 29.Qxg4 Kf6 30.Qh4+ Kf5
+- (7.06) Depth: 39/75 00:04:25 1547mN, tb=644406
1.h4 h5
+- (6.98 --) Depth: 40/65 00:04:33 1594mN, tb=662987
1.h4
+- (7.06 ++) Depth: 40/66 00:04:35 1608mN, tb=669125
1.h4
+- (7.19 ++) Depth: 40/67 00:05:12 1840mN, tb=781086
1.h4 h5
+- (6.86 --) Depth: 40/67 00:05:28 1946mN, tb=824127
1.h4
+- (7.13 ++) Depth: 40/67 00:05:31 1966mN, tb=831224
1.h4 h5 2.Ne2 Na5 3.Nf4 Nc6 4.Qg5 Qe8 5.g4 hxg4 6.h5 Ne4 7.Qxd5 Ng3 8.Qg5 Ne2+ 9.Nxe2 Qxe6 10.Ng3 Ne7 11.Ba3 Nd5 12.Bc1 Kf7 13.hxg6+ Qxg6 14.Qxd5+ Qe6 15.Qh5+ Qg6 16.Qe5 Qe6 17.Qc7+ Kg6 18.Bf4 Qe1+ 19.Kg2 Qe6 20.Qxa7 Qc6+ 21.Kg1 Kf6 22.Be5+ Ke6 23.Qh7 Qf3 24.Qg8+ Kd7 25.Qxc4 Qc6 26.Qf7+ Kc8 27.Qf8+ Kb7 28.Qe7+ Ka6 29.Ne2 Qg6
+- (7.25) Depth: 40/72 00:05:42 2034mN, tb=858050
1.h4 h5 2.Ne2 Na5 3.Nf4 Nc6 4.Qg5 Qe8 5.g4 Nh7 6.Qxd5 hxg4 7.Qxc4 Qb8 8.d5 Ne5 9.Qb4 Kg8 10.d6 Nf6 11.d7 Nexd7 12.exd7 Nxd7 13.Qb3+ Kf8 14.Nxg6+ Kg7 15.c4+ Nf6 16.Qd3 Kf7 17.Ne5+ Ke6 18.Qe3 Qe8 19.Bc3 Kf5 20.Qg5+ Ke6 21.Nd3 Kd7 22.Qf5+ Kc6 23.Qxf6+ Kb7 24.Qg7+ Ka8 25.Qxg4 a5 26.Bd4 Ka7 27.Ne5 Kb7 28.h5 b5 29.c5 Kc7 30.c6 Kd6
+- (7.28) Depth: 41/69 00:06:38 2392mN, tb=1079716
1.h4 h5
+- (7.20 --) Depth: 42/58 00:06:41 2409mN, tb=1089153
1.h4 h5
+- (7.12 --) Depth: 42/58 00:06:41 2410mN, tb=1089371
1.h4 h5
+- (7.00 --) Depth: 42/58 00:06:41 2411mN, tb=1089521
1.h4
+- (7.10 ++) Depth: 42/71 00:06:47 2450mN, tb=1099685
1.h4 h5
+- (6.82 --) Depth: 42/71 00:06:48 2451mN, tb=1099716
1.h4 h5
+- (6.49 --) Depth: 42/71 00:06:49 2459mN, tb=1101751
1.h4
+- (6.78 ++) Depth: 42/74 00:06:58 2511mN, tb=1116638
I remember, that 1990 dedicated computers solved this already
