I agree it's inappropriate to lose focus on the red signal while approaching it, however in the scenario I posed the train was stopped and the driver was awaiting clearance into the platform. By the same token, it would also be inappropriate to anticipate the change of aspect while approaching the signal. The Southern Professional Driving Policy is clear that from the moment the driver passes a single yellow aspect, he or she is to prepare to stop at the next signal.
Unless it's clearly stated on the diagram that you're booked to enter an occupied platform, it's always unusual and the professional driver will always pause for a moment to contemplate the reason for it and whether he or she can accept the signal. Some will even ring the signaller to confirm, and that's okay too. In some places (e.g. Purley 5 and 6), permissive working is only authorised for the purposes of attaching, not mere double-berthing, so it's always wise (and encouraged by the company) to check when unsure.
Also, I don't know about the Redhill services in question but Southern have a terrible habit of scheduling dwell times to the bare legal minimums, so there is barely enough time to shut down one end, walk to the other, and set up, let alone have luxuries like a drink of tea or a toilet break.
And finally, I can only speak for myself but where red signals and occupied sections are involved I care far more about safety (and covering my own behind) than I ever do about the timetable.
Ask yourself this: Do you really want tired, overworked drivers to be putting performance before safety? Do you really want the TOC to foster that environment? Shockingly, I've heard arguments similar to those in this thread coming from people in this industry, usually managers who ought to know better. Thankfully, they swiftly get corrected, but the old hands doing the correcting are getting fewer and the graduate-scheme know-it-all managers are getting more numerous, and I'm left worrying for the future of this industry.