I wonder if she was trying to sound more dainty/reassure her fans mentioning drinking cooking wine (mirin)? I think I heard of ye old Japanese housewives sipping mirin while cooking. It’s so cloyingly sweet I cannot imagine actually drinking it beyond a mouthful.In Japan they have mirin and cooking sake, which are very commonly used 'cooking wines' (teriyaki for example, uses mirin). Both contain around 14% alcohol, but you can buy them in 1L bottles as they're used so much for cooking. Mirin especially is used a lot as it has a good flavour, apparently its quite sweet.
I assume as its pretty much a staple cooking ingredient in Japan, its pretty cheap to get hold of which is why Venus is getting it.
Edit: finally got the live stream video to work.I redact this thought