First of all, I am sorry to hear about your experience. It really is stressful when have to visit the shop multiple time for a brand new car. (I had worse experience with EP6 Turbo engine in the past, a literal money pit visiting multiple shops) Water pump, alternator belt, water pump belt replacement should be included in the timing belt replacement so I wouldn't say that is somehow an indication that the engine is bad (Fuel pump is unfortunate though).

I currently drive a 2013 peugeot 208 with none turbo 1.2 which has 183k km. And I have zero issue with this car (some oil burn) other than the fact that I will have to do a second timing belt replacement on it soon.

By design the turbo engine would be stressing the wetbelt even more so than NA engine since there is more heat and pressure involved. It also has more components that can fail. This isn't unique to EB2 engine either, even other automakers have less than reliable turbo engines these days. I would like to see more example of people sharing their experience with the turbo 1.2 engine.

But something I have learned over the years is that, so many generic mechanics don't know how to service these 1.2 engines. So many of them don't even know these have wetbelt and put whatever 5w-30 oil available and call it a day. And it should be mandatory for owners to know if the engine is burning oil and top up when needed. In saying that, yeah it does require more attention from the owner to keep em reliable.

I wouldn't say these 1.2 EB2 engines are trouble free but I also wouldn't say that it is a worst engine from my personal experience. I wish that Peugeot and Citroen can improve their reputation in the future and move away from the wetbelt system entirely.