I'm Bangladeshi, from Dhaka. Trust me, no one is interested in getting drive-through. Dhaka is the traffic capital of the world, it's always a cost-benefit calculation to go out onto the road because you'll be spending extreme amounts of time stuck in traffic, inching along, burning gas. To get a Starbucks or a sandwich? Forget that.

What is becoming popular in Dhaka is, as you said, food delivery services which are mostly by scooter because of obvious reasons. For delivery, you're not going to order a sandwich, again for obvious reasons.