This may be correct.
If you look at Lucy item history for the other 4 flowers, you will see they added RANGE slot to all of the other 4 flowers some time in 2013 (atleast thats when Lucy parsed out the change). The Red flower however doesn't show this change in its history.
Wayback machine from 2002 shows a screenshot with Red being HEAD / RANGE -
https://web.archive.org/web/20021229...tml?item=15370
The Waybacks from a similar timeframe of the other 4 flowers show only HEAD in the screenshots:
https://web.archive.org/web/20030515...html?item=5793
https://web.archive.org/web/20021205...tml?item=16201
https://web.archive.org/web/20020112...html?item=6113
https://web.archive.org/web/20020112...html?item=6112