Green’s Dictionary of Slang

wraps n.¹

In phrases

be big wraps on (v.) (also have big wraps on)

(N.Z.) to be very impressed (by).

1997		www.thei.aust.com Mar. 🌐 Enter Shirley; the band are big wraps on him. Kramer says it worked from the word ‘go.’.
2005		in Age (Melbourne) 5 Aug. 🌐 ‘Who do you want to be like?’ I wanted to say Terry Daniher [...] but I thought I’d tone it down a little bit and I’d say Mark Thompson. And he said, ‘Mark Thompson? You’ve got pretty big wraps on yourself, haven’t you.’.