I'm not at all clear on what type of evacuation we're talking about?
If we go by the BS 9999 definitions, under phased evacuation the whole affected floor goes straight away (& the floor above, normally) - subsequent floors being dealt with under a management procedure, rather than an automatic 'all out' (other wise you risk clogging the staircases and making things worse). PHE evac goes from compartment to compartment, normally with immediate evacuation from the compartment of origin. Zoned evac is similar, but isn't necessarily associated with solid fire resisting barriers. Phased evac is normally used in tall buildings; PHE in buildings with extensive floors and good compartmentation (hospitals being an obvious example), zoned in low-rise buildings with large open spaces. All need really good management control & robust fire protection arrangements.
Sounds like this is zoned evac?
By the way, the RP are kidding themselves if they think that "...the RP hasn't got any cash to do anything with it... is even remotely a good excuse to leave thing as they are. The law assumes that if you choose to do something, you've positively established that you can afford to do it safely. Cost is a legitimate issue - affordability is irrelevant.