Every Halo received hate for one reason or another:
Halo 1 - Repetitive environments in campaign (The Library, urgh), you could argue that the multiplayer revolved around one weapon.
Halo 2 - The cliffhanger ending, glitchy multiplayer (BxR, super jumps and all that), the homing rocket launcher was way too effective, too much aim assist in all weapons in general. Those goddamned Jackal Snipers.
Halo 3 - No Elites as fightable enemies in campaign, co-op campaign was quite laggy, not everyone welcomed equipment, people argued that multiplayer maps weren’t as good as they were in Halo 2 (personally I’d consider both to be about equal).
Halo 3: ODST - No Elites as fightable enemies in campaign (or firefight) again, co-op campaign was a bit better but still lagged which kind of ruined Firefight for some, was overpriced at launch, relied too much on Halo 3 tech which was starting to age quite badly as this point.
Halo: Reach - Armour abilities, bloom, maps are often proclaimed to be the worst in the entire series (I would feel inclined to agree on that point), heck just go look in the Halo: Reach forum, I’m sure there will be hundreds of threads complaining about this and that.
But at the same time, each Halo game has received its own praises:
Halo 1 - Gave the original Xbox a great kickstart, amazing enemy AI for its time. Multiplayer is still played to this day.
Halo 2 - Another great campaign, multiplayer matchmaking revolutionised console multiplayer as we know it (can you think of any games that don’t use a matchmaking system of some form?), multiplayer kept going even when Halo 3 was released, up until Microsoft killed it.
Halo 3 - A good, conclusive end to the original trilogy while still leaving things open, Forge, Theatre, highly polished multiplayer despite what the critics say.
Halo 3: ODST - Had a pretty solid campaign, Firefight was a welcome addition. Probably the weakest in the series but still a decent game.
Halo: Reach - Campaign was in a different direction to the other Halo games, trying to make the Covenant seem intimidating and more alien than they were in the past. Firefight and Forge heavily expanded upon.
So yeah, this “cycle” is true for every game really - each game has its praisers but also its critics. Some people think Halo 3: ODST is the best in the series, others think it’s the worst.