Unless the timing actually specifies before the normal draw
The answer is a resounding yes, and MTG players are already well aware of it
Toski doesn't encourage your opponents to attack each other like Bill Nighy here does, true, but Edric is most often used in "Flying Creature" builds that use cheap cards like Flying Men, Scryb Sprites, and Pteramander to draw a bunch of cards
Lifelink decks can use this enchantment to that end, but it also strengthens another key resource: your life total

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Silk laminated cards have a clear finish that protects the artwork from wear and tear over a long period of time