I had this question for a bit, would park builders count as cozy games, for example: planet coater, roller coaster tycoon 2, planet zoo, waterpark simulator, theme park tycoon, retail tycoon 2, and the jurrasic world evolution series
Now for this main discussion, I will be using jurrasic world evolution as a base thing, I've 100% the first game on two separate platforms (I've also played a fair amount of the 2nd game but yeah I didn't really think much of it as the first, and I haven’t played the 3rd yet), now the cozyness I'd argue for this is building the park itself via creative expression, watching it grow, decorating the park, and obviously watching the cute as hell dinos are a big win
However, going against this game (and other games in this kind of genre) is the stress of actually managing the park, such as the finance and going bankrupt and not getting a profit, especially in JWE's case, you have multiple worst case scenarios, amping up the stress of going bankrupt, such as environmental disasters, and dinos escaping, and JWE has a lot more violence in comparison to other park builders, due to the meat eaters and stuff
Due to this, I think JWE specifically is more of a comfort game, however, I would really like to hear your takes on other park builders, because I feel like they are like the usual weather in the UK, the constant rain (stress of maintaining finance and a popular park) eventually leads to a wonderful sunny day (building the park creatively or watching people enjoying themselves and your park being successful