Looks just like Celmisia lyallii, but as you noted it does have purple leaf sheaths. Looking at your RECCE species list I see you had
C. verbascifolia which also has purple leaf sheaths. I would expect a C. lyallii.
Collection events
Primary collection event
Collection event type:
Field
Standard locality
Location:
Eyre Mountains, Firewood Creek, Plot X158
Georeferences:
Latitude and Longitude (WGS84):
-45.323499 168.533642
Verbatim locality:
Wakatipu, Eyre Mountains, Firewood Creek
Verbatim collector:
Sue Lake
Standardised collector:
Sue Lake
Verbatim date:
15 Jan 2013
Start date:
2013-01-15
Country:
New Zealand
Land District:
Southland Land District
Native lands:
Ngāi Tahu
Georeferences:
New Zealand Map Grid:
2159933E 5533232N (WGS84 -45.323499 168.533645)
Altitudes:
from 1430m
Habitat:
Tussock grassland dominated by CHImac and CHIcst. Abundant BRArev, SCHpau and CELlya. High diversity on a mixture of habitats: scree, seepage and bedrock.
Notes:
DOC Tier 1 and MfE LUCAS Programme Plot: X158; Sample Number: 20131423. Very similar to CELlya - but with purple base. Possible hybrid.