Here is an interesting anecdote. I have an investment in a company that owns several dozen apartment buildings in and around Boston. Their insurance expense went up 30% - 5% due to a rate increase and 25% due to higher insured value of buildings. The higher insured value drives demand for more insurance, and hence in this example, the insurance industry has to set aside 25% more capital to insure these guys. So if this is replicated across the industry, then this could keep upward pressure on rates.
On the supply side, according to Renaissance, they have not seen additional capital enter. Meanwhile, ACGL just announced a 5% special dividend. So it seems the industry is staying discipled. By the way, Tom Gayner of Markel bought around $200k worth of Markel stock in the past two weeks - another insider who is bullish. Everest (EG) just saw a director buy USD 1MM worth of stock.
So industry insiders are bullish, time will tell whether they are correct or not.