BS 9999 (clause 32.5.2) recommends against this being anything other than a fire-resisting duct, and for good reason - fires in kitchen extracts are common and have lead to many large fires (e.g. the Albion Hotel fire in Brighton). Access for cleaning might also be an issue if the riser is confined - can they not route the duct directly to outside?
If F/R ductwork is required, then don't forget that under BS EN 13501-3 the specifier should make it clear what classification of duct is required - e.g. fire inside-outside; outside to inside or both, orientation and smoke resistance etc. For example, a classification EI60 (ve ho i↔o) S indicates a 60 minute fire and smoke resisting duct which is fire resisting in both directions and can be installed both vertically and horizontally. Bit of a minefield...