So here is an example:
1) You own 1000 shares of google @$1,500 (long shares) = $1.5M paid.
2) You write 10 60-day $1,800 OTM calls for a premium of say 2%. Your borrow rate with IB is 1.5% per year, so will eat 0.25%*maintenance margin (let's call that peanuts for now).
3) You sell 10 60-day $1,200 naked puts for another premium of 2%.
Now price drop to $1,300: you sell your google shares for 1.2M book a loss of 20% and are assigned (forced to buy 1,000 shares from counterparty). So zero sum game excluding commissions and premium recieved.
Price Jumps to 1,800: you give your shares to the call counterparty and book a 20% profit + premium.
What is wrong with that logic?
Applied to a portfolio (less liquid): I could sell puts at 80% of NAV instead of 100% to provision for slippage.
At 1300 you won’t be assigned shares so when the stock rallied to 1800, you will owe someone 1000 shares at 1800.