A VPN and a browser are two entirely different things.
Especially the pay-mode in the SafeZone browsers offers more security than "normal" browsers.
Do you need the SafeZone Browser (pay-mode) to do your banking ?
No, any browser can be used as long as your banks website is supporting it.
Is it recommended to use the SafeZone Browser (pay-mode) ?
It sure is because it is safer than the "normal" browsers.