From my experience, Latios almost always forces someone to switch in a sacrifice before switching their real "counter" in. In that sense, it seems like Latios almost guarantees a kill, and is just easily revenged. If the only reliable way of dealing with Latios involves revenging it, I think that is evidence alone that it's broken. I feel like most people find that because they aren't getting 6-poke swept by Latios on their centralized teams, Latios isn't broken. I, personally, am sickened by all the cookie cut anti-Latios teams. It really limits the number of viable pokemon in the OU metagame, and such centralization is not desireable.
I would more likely attribute this necessity to revenge to the fact that you are playing with offensive teams. Offensive teams, in general, rely on death fodder and sacs to get their pokemon in anyway, or to scout. The manner in which offense is played is why suicide leads exist, is why people are sacrificing pokemon to Latios, and is why revenging is so common. I think it's perfectly normal for an offensive team to be sacrificing something to feed Latios, whether it be fodder on your team or whatever is sitting against it; in Standard, offensive teams must still do this against big threats like Salamence as well. For example, when you look at a team that epitomizes offense, like husk's Astral Projection, revenging and sacrificing are an absolute necessity.
Stall meanwhile, should have multiple answers to Latios, whether they be Blissey or bulked up Steels, being a stall team. Why do we see a lot of stall teams in Suspect? Because they can, and always have, handled big threats like Latios quite well. Stall is just as strong as ever in Suspect in my experience; indicating Latios isn't really affecting much there.
As for your little trapping team, that has always been effective, no matter what pokemon it is. Is there really any difference between double trapping with Magnezone and Dugtrio with something like Lucario or Scizor or Salamence than it is with Latios? Trapping/Luring counters have worked, will work, and always will work.
My OU team that I moved to Suspect has been just as good in my opinion. I do lose a bit more, but that is more likely a result of better players than of Latios overwhelming my team (which it does not). And the effectiveness of my meant-for-standard team has been proven by me able to get to the lower voting requirements within a few days.