Every other browser is logical. You can set it so when you use Control_Tab it brings up the last visited tab. Like any thinking person would want.
Also when using Control_PageDown it doesn't work properly either. Is there any way of making this thing work like a normal Chrome browser?
Otherwise its great!
I just checked against Google Chrome version 102.0.5005.63 (with no enabled extensions in Google Chrome) and both CCleaner Browser and Google Chrome showed the same behavior with these two hotkeys: cycling to the next tab in order.
This is also the behavior described in the Google Chrome documentation here: https://support.google.com/chrome/answer/157179 (check under "Tab and window shortcuts").
Is it possible that you have an extension installed that alters this behavior? If so, simply installing it into CCleaner Browser should enable this same behavior. If it's not in CCleaner Addons, then you can also install it from the Chrome Web Store.