turn 3-4: balloon tinkaton switches in on hydrapple ep, forces it out, and gets up rocks
turn 8-9: hydrapple switches in and is immediately forced to switch out because pult comes in on the same turn
turn 18-19: hydrapple switches into waterpon and is able to hit tinkaton with a correctly predicted earth power, making actual progress for the first time in the match
turn 31-32: hydrapple pivots in and out against waterpon. the only meaningful progress made here by empo is moltres burning the waterpon on the u-turn
turn 37-38: hydrapple comes back in and immediately has to switch out again because of the pult. 3d correctly predicts the tink switch and hits her with hex
turn 63: empo has to sack darkrai to get hydrapple in
turn 64: tusk does 66% to hydrapple with ice spinner before dying
turn 65: moltres loses to fickle beam…
only because it got para'd by darkrai earlier
overall analysis: empo's win was largely the result of the actions of other team members—darkrai paralyzed the moltres, which screwed it over with full para several times over the course of the match; gliscor was also responsible for wearing down a lot of 3d's team. by the end of the game, all of 3d's hydrapple checks had been killed or weakened enough by other mons to allow hydrapple to take the win. that doesn't make hydrapple broken, it makes empo a good player who recognized his win condition with hydrapple, made a game plan, and followed through with it. even then, a couple more correct predictions from 3d could have better exploited all the switching that hydrapple was doing—clicking u-turn instead of ivy cudgel on turn 31 would have taken it down to something like 40 and swung the momentum in 3d's favor, or clicking cudgel instead of u-turn on turn 32 would have goobed the moltres and avoided the burn. nothing here has demonstrated any sort of brokenness about hydrapple
https://replay.pokemonshowdown.com/smogtours-gen9ou-791206 - SW won with Hydrapple vs 3 INSANE checks Darkrai, Moth and Kyurem
turn 40-44: hydrapple comes in on a burned zamazenta. zamazenta sets up a couple iron defenses while hydrapple sets up a nasty plot. zama rests, then hydrapple teras and proceeds to spam giga drain until it wins
overall analysis: hydrapple doesn't even come in until the opponent has only a burned zamazenta left (and soulwind also had 4 other mons in the back, including a perfectly healthy gliscor). none of the checks you mentioned actually interacted with hydrapple at all
turn 11-14: glowking lets hydrapple come in with a chilly reception. supag correctly predicts a tinkaton switch-in and chunks her with earth power, but is forced out by moltres
turn 16-19: hydrapple comes in with mola wish support and takes a grasspon u-turn before nailing moltres with a fickle beam proc. moltres chunks it with u-turn and goes into grasspon, which hydrapple is forced to switch out of. it doesn't come back in for the rest of the match
overall analysis: tusk won that match. hydrapple put in some significant work by softening up ogerpon, tink, and moltres until tusk could sweep the whole team, but nothing about that constitutes brokenness
tl;dr: none of these replays actually show anything broken about the mon at all