Better downside protection. Even if a stock price goes down, there is an opportunity to minimize losses by rolling down (replacing the option with another one that has a lower strike or a later expiration date).

Get the stock you like at a discount price. If you want to own a stock, but don't want to pay today's price, sell puts. You win anyway! If the stock drops, you get to buy it at the exercise price, less the premium you received. If the stock goes up, you get the premium. Moreover, if the stock does not move, you still keep the premium.

Price pullbacks are less impressive. Psychologically  investors will take price fluctuations a lot easier if they know that fluctuations within a certain range do not hurt the principal (see naked put or covered call strategies).

Higher return.  Since investors have to keep a collateral on the margin account equal to approx. 35% of  the current stock price, the return on the short puts will be higher compared to the outright buying of stocks.