I work in a private university library but we do get a wide variety of patrons, including the general public.
Deep Freeze does a bunch of things, but securing a web session isn’t one of them. It also can’t know if a hardware keylogger has been connected. (And yes, this exploit has happened on a computer at our institution.) It also doesn’t prevent any hacks or previous sessions from affecting you. Its primary function is to return the computer to the state it was in the last time the computer state was frozen. This can wipe out all kinds of software exploits, even root kits, but it’s just one tool.
If you urgently need to process a financial transaction, do it at home or call them on the phone.
(I’m not an IT security guy, just been doing computers for 35 years or so.)