I find the part number commonly available and always find multiple sources to purchase from. As to using screwdrivers, a small Philips head screwdriver has got me into pretty much any laptop and removed any of a dozen or so screens that I have replaced. I'm not a professional computer tech at a repair station. I've see Torx head on other parts in the case but anyone can get a 5$ tool set with most small to mid sized Torx and other special bits.

I would agree with your assertion for Laptop mainboards.