A blower has no lag, so power is instant-on where a turbo takes a moment to spool.
Engine size matters less than boost pressure. An engine is essentially an air pump: the combustion cycle (4stroke) pulls air in, (intake stroke) compresses it, (compression stroke) ignites it, (combustion stroke) and expels it (exhaust stroke). Suck, squish, bang, blow. In the most basic of explanations, forced induction crams more air into the cylinder than available at ambient pressure, which when extra fuel is added, results in a bigger and thus more powerful explosion. Yes, larger displacement makes more power all other things being equal, but there are many variables. Does that make sense?