Don’t you? You can always say no verbally or with non-delivery. Are you working under a continuous and immediate threat of dismissal?
When customers that pay you a lot of money demand resolution to issues from your higher ups, you sort of have to. Especially true if their product is not working.
> Are you working under a continuous and immediate threat of dismissal?
Definitely! It's been that way everywhere I've ever worked. Unless you are churning out code at maximum speed then it's only a matter of time before you get fired.