There are a few points that really need to be central in this kind of discussion, but which are often swept under the rug by people who want to reason back to whatever conclusion they are hoping for.
The first is that the PL is easily the most physically demanding league in Europe. You have to do more sprints and cover more ground per match (this is statistically proven), you have less time on the ball, the opposing athletes overall are arguably the best of any league (this is subjective but IMO at least true), and the weather is often cold and crappy . Examples of guys playing well into their 30s in other leagues just aren't very useful in thinking about how players age in the PL.
The second is that position matters quite a bit. Studies suggest that wide players, whether FBs, WBs, or wingers, decline the earliest. Other than the obvious in GKs, CBs probably have the longest careers. Midfielders and CFs are somewhere in between.
The final issue is survivor bias. So often you see people pointing to somebody like Thiago Silva or Fernandinho and saying something to the effect of "Age is just a number, see you can play at a high level in the PL." It's easy to say that because the guy is on your television staring you in the face. What you don't see are all the 33-year-old footballers who have already retired or gone off to some other league entirely because their bodies broke down right after they hit 30 or they lost a step and were no longer effective enough or they simply lost the motivation to put in the daily grind.
All in all, the one inescapable conclusion is that betting on field players, especially non-CBs, to play at a high level after 31 in the PL is a terrible idea from a probability standpoint. Some of those bets will beat the odds (ie, Fernandinho), but most will turn up crap.
How many field players in the PL who were 32 or older when last season began went on to play 2000+ minutes in the league? This isn't a particularly high bar, I'm not talking about good play per se, just being able to start games on a fairly regular basis. The answer is 5 - Seamus Coleman, Craig Cathcart, Joao Moutinho, Cristiano Ronaldo, and Thiago Silva. That's the entire list of age 32+ players (at season's start) who were capable of simply being regular starters. So if you're looking at a 30-year-old player - of which there are tons - and thinking "Yeah, what's really the difference between 30 and 32 in the end? He'll still be a big part of this team when he's 32" there is a lot of wishful thinking going into that calculation. Is it possible? Of course. Is it likely? No.