The best examples that come to mind are when ordering food. As examples:
• You speak English and Spanish and are ordering a burrito
• You speak Thai and English and are ordering Tom Yum
I imagine it could depend on numerous things:
• You primary language or ethnicity
• What sort of restaurant
• Who you’re dining with
• Who you’re ordering from
• and probably a lot more…
There are times in which pronouncing the wrong way can save you a lot of hassle.
In many poor countries speaking proper English is a dead giveaway that you have money, so you can obviously see why that is undesirable. Even when that is not the case English is so deep in every other language that people use English words as they see fit without knowing the language at all, so one has to pronounce it like they do for them to understand.
Last case is to “avoid correcting someone” because one does not want to make the other person feel bad, or simply want to avoid the “how is it pronounced” situation.