How important is delivery speed compared to price?
In the Gulf, frequently more important. Same-day and next-day are normal here, so a week feels broken rather than slow, and buyers will pay a premium to avoid it.
The reasoning
The comparison worth running is your own: offer a faster paid option and see what share takes it. Most stores discover a meaningful proportion of customers were choosing on speed all along.
What most people get wrong
A refund handled well makes a repeat customer more often than a sale handled well.
Most support questions are the same five, and answering them before they are asked is cheaper than answering them after.
Unclear delivery timing causes more abandoned carts than price.
How an app changes it
An app makes the after-sale part easier: order status, reordering and support in the place the customer already has open.