Haye was full of confidence, his giggle wasn't a nervous one and he'll feel like he had a result. Wlad was taken a back by Haye's audacity and hurtful comments, and got caught out a bit. Neither fighter is scared of the other and they are both born winners.
The whole thing was filmed about 6 weeks ago before the press tour went into full swing. IIRC, Haye was not quite so vocal in the next few weeks. Face-off is old news, Wlad's been winning the PR war lately.