I would like to know the differences between:
Will these all determine the same boundary decisions?
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You can see in the user guide that the first two will not produce the same results. In the multiclass setting, LinearSVC uses one-vs-rest while SVC uses one-vs-one. Aside from that, the solver used is also different, and because of that some of the options differ. See LinearSVC docs, SVC docs.
I suspect the third will be the same as the second. I don't see anything in the source to indicate it quickly, but it shouldn't take long to test.