You can think of this strategy as embedding a short put spread inside a long put butterfly spread. Essentially, you’re selling the short put spread to help pay for the butterfly. Because establishing those spreads separately would entail both buying and selling a put with strike B, they cancel each other out and it becomes a dead strike.
The embedded short put spread makes it possible to establish this strategy for a net credit or a relatively small net debit. However, due to the addition of the short put spread, there is more risk than with a traditional butterfly.
A skip strike butterfly is more of a directional strategy than a standard butterfly. Ideally, you want the stock price to decrease somewhat, but not beyond strike C. In this case, the puts with strikes A and C will approach zero, but you’ll retain the premium for the put with strike D.
This strategy is usually run with the stock price at or around strike D. That helps manage the risk, because the stock will have to make a significant downward move before you encounter the maximum loss.