In this Forum there will never be consensus on anything, even on which direction the sun rises
So,
IMO, to speed up the oil draining and perhaps get a little more complete draining the oil should be warmed up first. If you want to pull the drain plug and wait (and wait) you can drain it cold too. I like to delude myself that the quicker flowing oil does a better job of getting heavier particles to flush out than with a cold, slow flowing oil.
I've tried the screwdriver method for really stuck filters and only succeed in tearing the filter apart. If an oil filter is properly installed a strap type filter wrench should be fine. My '15 oil filter installed by Yamaha Factory was ridiculously tight. Over the years I have collected several types of oil filter wrenches. The wrench I used this time has a brand name of: OEM.
The harder you turn the wrench the more the cap is forced to close the two sides. The leading edges of the wrench sides digs into the filter and crushes indentations that creates all the gripping you need.