Not contradictory at all. Because IPO is such a lucrative investment, each round of IPOs can draw as much as several trillion CNY. This amount of money would have to be withdrawn from the stock market to "cool it down".
If the profit is guaranteed (which it seems like, with the government restrictions), investment firms should be able to simply borrow the money to buy the newly issued shares.
Yes, and it's exactly what's happening. There's no market inefficiency here. During the few days when IPOs are available, the overnight interbank interest rates usually increase significantly compared to other days. On average you can expect to make about 10% p.a. almost-risk-free from IPOs, similar to gearing A-grade corporate bonds.