Well, at least in Spain cards typically take between 3 or 5 days to get to you via post mail when you first open your account in a bank, and when it's about to expire, from time to time, you get the new one weeks in advance.

So I don't think distribution is a problem. Of course companies would prefer to save the cost, and they also prefer that you use their applications, but I just don't think it's more convenient for the end user. Taking a card with you is not a big deal while having to use a mobile application or approved device limits your freedom to choose which smartphone you want to use or how to use it.