I think it largely depends where in the world you come from.
My former machine tool fitter colleagues based in Halifax (UK) all used the push method. I have seen videos of German / Swiss fitters using a different type of scraper designed to be pulled. I have not seen this technique used in the UK. My collegues were trained at the likes of Asquiths, Butlers, Churchill Redman, Stirks & Crawford Swift (when Halifax was awash with machine tool builders), though on a visit to Bridgeports in Leicester their fitters used the same technique. The patterns left by the two techniques are different – pushing while "rolling" the scraper gives a longer, curved mark, while German / Swiss machines show short, straight strokes.
Scrapers need to be sharp to do anything. I am by no means a scraping expert, but I "test" scrapers for sharpness by lightly scraping against my thumb nail (what remains of it – nibbler !). A sharp scraper takes a light shaving with no effort – a blunt one just skates off the surface. My former colleagues had a bench oil stone along side them when using a steel bladed scraper & regularly rubbed the flat side against the stone to maintain the edge. Carbide insert scrapers were usually hand ground on the face on a fine green grit wheel, though by rights they should be diamond lapped to a fine finish for best results. Power scraper (Biax) carbide inserts were taken to the Biax agent (who was conveniently local) for diamond lapping. The end face is ground with a slight curve across the width to a negative cutting angle from both sides to give two cutting edges.
Carbide scrapers were prefered for cast iron & steel scrapers (usually old flat files re-purposed) were prefered for steel. Three square (triangular) or curved blades were used for bore scraping – something done rarely for us, as we got very few plain bearings requiring scraping in.
I have a couple of different length commercial (probably Chinese) steel scrapers & find that they don't hold an edge long. I use the longest I can get in on the job in hand – more leverage with a long blade. I use a small three-square for deburring & have a 12" or so long holder + file handle I made up to hold a carbide blade. I have only seen Sandvik carbide scraper blades & they also used to make handles/holders for them in a variety of widths. Mine is about 25/30mm wide from memory. They are also expensive – £25 / £30 each for the inserts some 20 years ago.
You don't take much material off with a scraper – my colleagues used to reckon on 3 scrapes across a surface to take off a thousands of an inch. I am limp-wristed, scrat about & am probably nearer 5 scapes to the thou !
HTH
Nigel B.