If the borrow costs are say, 20%, and the options don't reflect that, then you simply do the following transaction:
Buy shares in the stock, lend them at 20%. Buy the ATM put and sell the ATM call, which if put call parity is holding will cost you only the transaction cost (which is far less than 20%). No matter what the stock price does, your synthetic short exactly balances your actual long, and you get a free 20% out of the deal.
Sure as a retail guy you may not be able to capture the 20% lend rate, but enough institutional guys can that they'd arb that opportunity away in less than a second. And it doesn't matter that the rates change every day, as long as that lending rate exceeds your round trip transaction costs on the synthetic short you're making risk-free money.
But that's all theory. Take a look at a stock with a high borrow rate; since you're with IB I can tell you that you can add a column to see this in an annualized percentage basis for any stock, or at least you used to be able to. Then see if put/call parity holds for ATM options for that stock. It won't (but if I'm wrong, please let me know the stock!)
IB has the SLB database, which you can view with your browser to see availability and borrowing charge.
I'm not trading now so can't see details but I recall borrowing cost for say TSLA was super high back a few years ago. Probably still high now. I think like 60-80% per annum compounded daily or something.
Also, even if you can put your stock up for borrow, it is not a steady sure income as it has it's own supply/demand nature to it I'd imagine. I'd assume demand for short borrowing varies as a natural course of trading. So this isn't a guaranteed source of income and thus not really a fool proof arb to go delta neutral and rely on stock loan for income. You can sit on your stock and potentially nobody may borrow it. In that case, with the variability in demand for shares even at a high rate (although the high rate will suggest there is at least demand, or supply is low), how exactly do you price options to reflect the lending market rate?
I don't think the put call difference will reflect that high of a loan borrowing rate though at some 60-80% borrow rate. That will make the cost of options very high. Say you do a synthetic short out one year, and in theory you're saying there should be an initial debit to set up each synthetic short position to reflect interest charged for high cost of borrowing. If say it's at 60% borrowing rate per year. Shorting 100 shares @ $278 costs 22.8K in lending cost? For sure the debit for a synthetic short won't be 22.8K per synthetic short position one year out. That's super high. So does that suggest the options are not fully pricing in the lending market? I'm just not sure how the mechanics of it works.
Also, the stock lending market is kinda small. It's hard to imagine a small niche segment affects the options market, which is a much larger and more regularly traded market. It could, I dunno.
Can look at more specifics later. But it is an interesting point.