Seeing is believing. Apparently those adhesives work great, for those users.
In sum, adhesives can have a use, but they will not extract a rusted, 3/8" broken stud from an engine block. I prefer other methods. The method must be adapted to the situation.
For Phillips head screws that have ruined slots, but are not otherwise stuck, I have used epoxy. For more difficult instances , I have used LH drill bits, taps, and/or screws to get them out.