One of the other pluses of the drill doctor is that when you snap a bit off you can take the broken stub, rough grind it to shape on a bench grinder, and then sharpen it properly and make a specialized short bit for use in low clearance jobs. I've had mine for years and love it!
You convinced me to buy one. Also, thank you for the image and explanation of "split point", I was getting it confused with "step point/pilot point" bits. Take care and God bless.