The aim of critical thinking is to assess the validity of a reasoning. It does so by checking the reasoning on internal inconsistenties and wrong deductions. It also tries to detect hidden assumptions, which is the hardest part, because the thinking happens within the exsisting logical bubble. That seems like the Baron von Munschausen, who saved himself out of a marsh by pulling himself out by his hairs.
In my opinion it would be much easier to detect hidden assumptions from outside the logical bubble by using lateral thinking techniques.
Hence, PO: There is no difference between lateral thinking and critical thinking