Google will minimize the "Add To Homescreen" Chrome banner in the upcoming version of Chrome, which is Chrome 68. This will be for the Android version of Chrome and Google says it will be starting with pushing this out to users of the beta version of the application, and that it will begin to push this out to users starting this month, albeit without mentioning an exact time frame, so if you want to see this change for yourself you'll likely just want to have the Chrome for Android beta app installed on your device and wait until you see the visual differences.
These visual differences may be minimizing things a bit, or rather scaling them back, but they will still be easy to see. Instead of having a big banner with a giant blue button, Google is going to be instituting the use of a more petite info link that it's calling a mini-infobar. The link will still be blue, so those who may associate the add to homescreen option with the familiar blue color that Google uses for many things should still be able to get that here.
Tapping on that link will then lead to a larger panel popup that will show the labeled website link, and an option to add or cancel the action. For now this is what users will end up with instead of the larger blue button, but Google will also eventually remove the mini-infobar and replace that as well, transitioning to the end result which is a button in the address bar that will allow you to add the page you're currently on to your Android device homescreen. This won't be as visible as the banner or the link, but it will be more minimal and should have a more cohesive look. Google doesn't give a time frame for the rollout of these changes to the stable version of Chrome for Android, so if you want to get your hands on them you'll need to give the beta a try.