Weekly puts have little premium and high gamma risk.
The problem with the strategy is that stocks that go straight down or then go straight up will result in losses. If you sell puts and end up owning the stock and you sell a call which has any premium, if the stock rebounds you will be taking a loss which means your strategy had become inverted. If the Stock keeps dropping, the liquidity in the options dry up at some point and there is no more short term call premium to short. You are stuck with a loser. If the stock drops below five dollars, the options typically stop trading. Dividends are not relevant.
My suggestion is to buy your favourite stock on a day when the stock drops and vols spike. Sell long dated ATM straddles which translates into 40% returns for the year. If the stock drops, then you own more shares at a much lower level. Then you sell another at the money straddle when exercised which again will lock in a 40% return over one year if the Stock stays flat or rallies. At some point you're going to make more money than any of these hedge fund managers. Then use your time for skiing or regattas. That's the end game for me.