Recently at the Minneapolis Scraping class I taught one of the students had been using his hand lap to sharpen his Anderson hand scrapers. I tested it against the blades I sharpened on my Glendo Accu-Finish I with a 600 grit wheel diamond grinder and there was no comparison. The student who had been hand lapping his blades was pushing 10 times as hard and not getting anything off. If the blades are sharpened correctly you can "hog" and "smoke" off the metal. If you checked the depth of the cut with a dial indicator you should be able to get .002" deep. I say when scraping normally to get a finish, you get .0002" to .0005" deep.
A week ago that student dropped by the shop I was working/scraping sharpened his Anderson blades. He saw the light on how to sharpen his blades. When I was a kid 45 years ago I hand lapped my high steel blades. I may sharpen my pocket blade that way now, but not a scraper blade.
If you own a double end grinder with a tilt table you use to sharpen your lathe tools. Buy a 250 or 300 grit 6" x 1" x 1/16" side facing diamond wheel and tilt the table up in back 5 degrees if your scraping cast iron and on average. (keep the wheel wet) you sharpen both sides of the blade and if you look at the blade from the side you can see 2 cutting edges with a line down the middle. To say it simply it will look like a roof, middle higher the edges. Scraping steel and plastics you sharpen it at different angles. More later if your interested.
When scraping iron you need a blade that is sharp and using a green wheel will leave little ridges on the blade. I say to run you fingernail edge down the edge of the blade and it should be smooth, the green wheel will leave the ridges and you can feel them with your fingernail. If you look at the DAPRA.com web site and click on Scrapers and tools, look for a radius gauge. You can make one of these or buy one. It is a guide you can use to sharpen the blade tip. For roughing I recommend the 90 MM Radius and for finish I recommend 60 r or smaller 40 r . Or 90 = proxy.. a 4" circle and 60 a 3" circle radius.
Another scraping teacher, Forest Addy has written about a home made lap mahine he makes and recommends using a 6" plate he impregnates with diamond powder. I have seen it and it works well. I bet if you Google that you can find it.
The bottom line is as a Professional Scraper I carry in my tools a Glendo lapping machine with a 600 grit diamond wheel as I need a sharp polished edge to cut a smooth scrape mark. The green wheel will leave little scratch marks inside the cut. Unless your a super steady hand a hand lap makes it better then a green wheel, but a regulated angle device using a 300, 600 and even 1200 grit diamond wheel is the clear and best method for sharpening scraper blade.
Sorry for not writing more and sooner, but I have been super busy rebuilding machines.
Richard