Nope. "Draw" is what's called a keyword action, it's a term defined by the game's rules, and no action is considered to be that unless it uses the actual term. Lorescale Coatl won't trigger because Fact of Fiction doesn't textually say that you draw cards.
Private Mod Note
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I'm a former judge (lapsed), who keeps up to date on rules and policy. Keep in mind that judges' answers aren't necessarily more valid than those of people who aren't judges; what matters is we can quote the rules to back up our answers. When in doubt, ask for such quotes.
Fact or fiction w/ Lorescale Coatl