Miles's venom blasts from what i've seen are quite inconsistent. For example he's used these to deck the likes of Venom who has an awesome healing factor in one hit but then Peter Parker has gone on to tank them twice on no less than 2 occasions despite the fact he is nowhere nears as durable as Venom. So to answer your question its very hard to tell due to inconsistencies lol.
I would say so. Not only does their cinematic universe - so far - seem much "edgier" in comparison to Marvel's, but Marvel also gives off a largely more comedic tone with their comics as well. Like Matt Fraction's Hawkeye, Rocket Raccoon, Squirrel Girl and a Groot title on the way. The only title DC is putting out like that - that I can think of, anyway - is Harley Quinn. The rest are either pretty balanced or dark.
I'm pretty sure that "edgy" in the context of literature, entertainment etc... is generally defined as experimental and risk taking ideas. So to be quite honest the opposite of your statement holds true. Harley Quinn is DC's edgiest title as it differs from their normal trend. DC movies are not edgier. They are a more somber tone but not edgier as DC's MO has always been to go for the darker/serious side. The idea of a Superman Vs Batman movie isn't really all that risk taking or experimental. They are DC's biggest cash cows. For example you could argue that Marvel's movies by definition are edgier as they are using characters like Guardians Of the Galaxy, Ant-man, Dr. Strange etc..... and getting decent results.
But again edgier should not be confused with being good. For example Superior Spider-man was an "edgy" title but was hated for the most part. Just because something is risk taking doesn't mean it'll be decent. I don't believe DC's movies are edgy as they aren't actually doing anything different than they already do in the comics. Thats not to say its a bad thing because DC does gritty very well but edgy is the wrong word to use here as DC's movies don't fit this definition.