Lucena Position?


My understanding is that for it to be a Lucena position the attacking king (white in this example) has to be on the queening square and the black rook has to be on a file opposite from the side where the king is (in this case the A, B or C file).
I would not consider this to be a Lucena position. Nice win though.
[Date "06/01/2022 03:27PM"]
[FEN rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1]
[White "aidemzarb"]
[Black "bastienpado"
[Variant "chess"]
[Result "aidemzarb won by resignation"]
[WhiteElo "1049"]
[BlackElo "1007"]
[Termination "aidemzarb won by resignation"]
1.e4 {10:00} c5 {9:58} 2.Nf3 {9:58} d6 {9:56} 3.Bc4 {9:54} h6 {9:47} 4.O-O {9:50} a6 {9:36} 5.Nc3 {9:48} Nf6 {9:35} 6.d3 {9:41} e6 {9:34} 7.Bf4 {9:32} Be7 {9:32} 8.Qe2 {9:26} Nh5 {9:01} 9.Qe3 {9:09} Nxf4 {8:51} 10.Qxf4 {9:07} O-O {8:20} 11.Rfe1 {8:35} e5 {8:07} 12.Nxe5 {7:32} dxe5 {7:56} 13.Qxe5 {7:31} Bd6 {7:24} 14.Qh5 {7:01} Nc6 {6:53} 15.Nd5 {6:46} Be6 {6:23} 16.Rad1 {6:35} Na5 {6:06} 17.e5 {6:03} Nxc4 {6:04} 18.dxc4 {5:56} Bxd5 {5:36} 19.cxd5 {5:40} Bxe5 {5:02} 20.Qxe5 {5:09} Re8 {4:59} 21.Qxe8+ {4:21} Qxe8 {4:57} 22.Rxe8+ {4:11} Rxe8 {4:55} 23.d6 {4:09} b5 {4:34} 24.d7 {4:07} Rd8 {4:32} 25.f4 {3:55} a5 {4:29} 26.Kf2 {3:53} c4 {4:04} 27.Ke3 {3:52} b4 {3:54} 28.Ke4 {3:51} a4 {3:52} 29.Ke5 {3:50} Kf8 {3:40} 30.Kd6 {3:48} b3 {3:26} 31.axb3 {3:44} cxb3 {2:57} 32.cxb3 {3:41} axb3 {2:54} 33.Kc7 {3:39} {aidemzarb won by resignation}