I'm not wholeheartedly disagreeing, but there's so much more to consider:
1) You're not at home.
2) You don't always order Dominos.
3) You don't even know what's available for delivery (I'm in a less urban area than most--Pizza Hut just started delivering in the last 12 months, and doesn't deliver to the whole city)
Essentially, when things get complex, Magic's cognitive load hardly changes at all. If it's a matter of routine (same pizza, same company, same house), your way is probably worth saving the money they charge.
Anyway, my pizza place has none of that. Including "online account," my pizza guy would have a good laugh at that.