Of course it would be heavier.....but I don't think it would be "OMG it's so heavy" heavy....But hey. I dunno. Never had that engine on a scale.
FWIW, they're talking about putting this same engine in the Focus.....and that comes with a teeny 4 banger too. Though curb weight is higher...
I've had the Supra engine on a scale...and it ain't light in completely stock form....