I'll spoil your bet. I love Apex and haven't considered a hand drawn sketch in 15 years---and I am 66.4166 years old. Also I have down an Apex sketch of a two story 4,000 square foot home with bay windows, angles, bridge over the two story height rooms, with interior walls, closets, doors and plumbing fixtures in less than 20 minutes. And although my hand drawn sketch could have be beautiful, it would have taken longer, had erasure marks, different shades of lines, not near as neat looking as Apex and integrated into my file so I could email the package very easy.
Try Apex and experiment with the free form before trying to calculate areas. It is as much fun as an etch a sketch!