It is interesting to experiment on eBay. One of my recent experiments was to add/ remove express delivery on one of eBay Listings. Here’s the screen shot of eBay result on a listing without express delivery option. I looked for “Veet face wax strips”. We are looking at the product with red circle. There is no “express delivery” available.
Now have a look at this result with same search terms. Did you notice the difference in its place of appearance on the result? It went three places above from where it was.
There are many factors for to appear in top of search listings and “delivery option” is one of them. Now you can experiment for yourselves on few of your listings and check if this really works. Even if express delivery is expensive and no one would pay for it, for instance in this example the express delivery cost is £7.90; no one is stopping you to put express delivery charges on your listings.
Have a go and I am exited to hear what happens to your listings !