Do gambits that deflect the opponent’s pieces from the centre work? That might be a viable strategy, but I barely play KOTH (when I do it’s on lichess)
Advice on King of the Hill strategy.


Don't let opponents sneak in a win with their king, protect the centre with pawns, your queen, knights and bishops
Most openings that work in regular chess will also work in KOTH. Remember that it is only the king that needs to be kept out of the center, so 1 e4 e6 2 d4 d5 3 e5 and now neither players is going to move their king to the center quickly and you can play a normal game.
Impatient players might get mated on move four: 1 d3 d5 2 Kd2? e5 3 Ke3??? Qg5+ 4 f4 Qxf4# or 4 Kf3 Qg4+ 5 Ke3 Qf4#.
The late middle game and ending is where the hill becomes critical because that is when a king may reasonably go there, or may have time to go there freely while ignoring the rest of the board.
I play my normal openings and do fine, while doing very well when I face a charging-king opponent. The opponent's king charges forward saying "Attack!", so I do.
Here is a game illustrating the value of blocking the opposing king from the center without occupying the center. The player that lost was quite good but was a little too focused on reaching the center.
https://www.chess.com/variants/king-of-the-hill/game/17523411/79/3
Black's 18th move was a mistake that failed to win a pawn, but it did lock the king out of the center for play to continue one pawn up. Black's 27th move won that pawn while the White king was on the cusp of the hill. The Black king didn't start moving towards the Hill until move 36 and reached it on move 42.
PS playing the Black side of the Aleknine in KOTH requires greater care to watch the center from the outside than when doing so in regular chess. (and after 1 e4 Nf6 2 Ke2 you have the play e5 because 2 ... Nxe4 3 Ke3 is a win for White).
The king can be attacked in the center of the board if there are too many pieces on the board that are able to control the center squares.
It is important to play like it is normal chess.i ofthen play with people that try getting their King in the center in move 2, but each time i take out my Queen and checkmate them. some times even with pawns.