Zionism was not started by Ottoman Jews, which were a very, very small minority in Palestine. The grandfather of Zionism was an Austro-Hungarian, Theodor Herzl. Before that there was a proto Zionist movement the Hovevei Zion which was created in response to pograms in the Russian empire. The Zionist movement was entirely created as a response to the treatment of European Jews by European powers.
Living under sharia law and being treated as a second-class citizen (which all non-Muslims were) certainly was not ideal for Palestinian Jews, but hundreds of thousands of European Jews did not start streaming into Palestine because of that.
Agreed. If you are not incompetent, you will remember the stuff that you use often. You will know exactly where to look to refresh your memory for things you use infrequently, and when you do need to look something up, you will understand the solution and why it’s correct. Being good at looking things up, is like half the job.