The scrollbar visibility and fadeout effect can only be defined on the application itself at a programming level, there's no general option to control this.
Developers tend to follow the best practices, regarding small screen devices, since the space is limited. The general concept here is to have scrollbars hidden while not in use, since they appear over the content being presented. This is due to the limited space available, that portable devices tend to have.
Don't know if you ever noticed that scrollbars on smart-phones and tablets appear over the contents, and don't have a designated space as we see on desktop computers:

It's all about the UI, and unfortunately for you, it's the general concept that AFAIK isn't going to change.