Does Mx-armour cut it for street?

I’m extremely fresh to motorcycle riding, and have come across very few motorcycle jackets that i actually like, save for some uncomfortable armoured hoodies. i know gear is about safety not drip, but i can’t help but feel i won’t wear it as often if i don’t like how it looks. in this spirit, i’ve been trying to find some under-wear armour that i can wear hoodies or jackets that i like over the top of. the daubers mx-2 especially caught my eye. will this cut it protection wise (under a thick hoodie/coat) considering i’m still taking it easy, or should i suck it up and buy a jacket? for reference i’ll be learning during sydney winter, cold but not wet.