A previous issue (#12) was open to solve the issue with missing images that weren't bundled with Webpack. This was successful and you can know see on the live demo at web3connect.netlify.com that the images are present on the modal when you click the button.
However this issue still remains for a very specific use-case. It works on Mobile browsers but not a Mobile Dapp Browser. For example: open the same live demo on Trust Wallet's Dapp Browser (only tested on iOS) and you will see that the image is not loaded.
Find a solution that will display bundled images on Trust Wallet's Dapp Browser for both Android and iOS