A false dilemma offers two options and hides the rest. Evening hours or no culture at all. A perfect timetable or an incompetent manager. The two ends can both be unattractive, which is why the squeeze works. The missing step is the range in between, or a third option nobody named. You do not have to pretend every pair of choices is a trick. Some choices really are narrow. The test is whether the speaker has shown that these are the only options, not whether you dislike one of them.
Fallacy
False dilemma
A false dilemma pretends there are only two options when others are available, or treats the options as if you must take one extreme. Sometimes the pair is real. The fallacy is forcing a pair that has not been shown to be complete.