Hi Kruh, thanks for sharing that!
Your post is ahead of a post I intended to make, on fitting a 32mm Koso PWK to an ETZ 251. I understand both OKO and KOSO produce replicas of the Keihin PWK, here's my 32mm KOSO PWK clone:

- Koso PWK32 mounted.jpg (21.08 KiB) Viewed 72 times
They probably look quite the same, only mine says 'KOSO' where yours seems to say 'OKO'. I have only very recently fitted the carb, and not done many miles with it at all. I'll still do a post on it in spring time, maybe summer, when I have more experience with it.
For the record, my current settings:
Pilot = #43,
Air screw = 2¾ turn open,
Needle Jet = original,
Needle = original @ middle position,
Main = 1.40mm (which is slightly richer than the #138 Keihin originally included).
The Power Jet is not marked and I cannot measure it, but it is 0.35 < PJ < 0.85 mm, so pretty small. Note that the original Keihin PWK does not have that Power Jet.
A number of jets were included it the package, but I found that the biggest (said #138) was slightly lean:

- Plug with #138 MJ (fair test).jpg (25.36 KiB) Viewed 72 times
For now I landed on a 1.40mm one, giving:

- Plug with 1.40mm MJ (fair test).jpg (30.38 KiB) Viewed 72 times
While I'm showing these plugs, for me most important is the subjective impression of how the engine responds. And I do have the impression the low & mid range pickup is stronger than with the original 30mm BVF. This is not due to the size, as in that range the throttle is only partially open. But: as said, my experience so far is quite minimal, maybe 25 miles, and all at temperatures near freezing. Because of those low temperatures I may choose a smaller Main Jet under normal conditions, but for now I'd like to err on the side of caution.
I have had no issues with the carb, other than that the engine side of the rubber booth was way too small (smaller than the venturi size). I like the carb, specifically the chromed bore & flat slide. I also like how easy you can access the main jet, via a big screwed cover (sealed with an 'O'-ring) just below it. And I also prefer the choke on the carb, rather than via yet another cable coming from the handlebar. On that power jet, the jury is still out, I'll say more about that later.
Looking at your picture, I suppose that was during fitting the carb, as there is no fuel line or connection to the air filter.
On your question "Is a 33 mm carb too big for a stock TS 250?", my views are as follows. Like the ETZ, the TS 250 originally also has a 30mm carb. Increasing the venturi size alone will not give much improvement, in fact at full throttle the bike might run worse (because the flow velocity reduces, the venturi effect is impacted and the jetting might be less accurate). The entire engine, meaning the porting (size + timing), intake & exhaust are designed in line with the original 30mm carb size. In principle you can run a bigger carb on a 250cc 2T (I believe up to 40mm have been used on race bikes), but you will only really benefit from a bigger carb if other parts of the breathing are similarly modified. It is not only the intake manifold that requires work (a dedicated one on mine, to retain the original manifold for the BVF), but all ports in the barrel. Maybe make a few extra overflow ports too, and certainly exhaust port work is required, and of course also the exhaust itself (a tuned expansion exhaust?). Then you really enter into the tuning-for-speed area, and while these engines (ETZ & TS alike) can be tuned well, and have been used in racing, one can wonder: Why? The cost will be: losing originality, higher fuel consumption, louder & less reliable, but yes, more speed (at least if it is all done well).
Yes, I put a 32mm carb, and while I think I see some gains at the lower end, so far it does not look like my top speed has benefited. As said, the jury is still out & I need to get more experience. Note that my objective was not to make this bike faster.
Another consideration is when you have an oil pump: the pump cable assumes a carb slide travel of 30mm.
Anyway, buy a bigger carb if you like to try it (as I did), but if you want to achieve real performance gains more work is required. Of course, any aftermarket carb will reduce originality.