Skids are caused by too much braking pressure. A rear tire skid will sometimes cause the rear wheel to slide out of alignment with the front, but sometimes it'll more or less stay in line. This is why the rule of thumb is to ride it out. A front tire skid on the other hand causes the bike to crash NOW unless the front brake lever is immediately released and reapplied with less pressure. This is because you have to allow the weight to shift forward onto the front tire, making the contact patch bigger allowing you to apply more brake pressure. It's not harder, it's not faster, it's just moooorrrre squeeeeeeze .
Yes, when stopping, the handlebars need to be square ( straight) so you can achieve " straight line braking". That's why when you stop gradually in a curve, you have to gradually apply more brake pressure as the bike straightens up. However, when you have to stop quickly in a curve, you have to straighten the bike up first before you can apply threshold braking.