If that's not true, please explain where it's not, and what is true in place of that. Am I wrong about the relative cash flow in bond fund shares in a major stock downturn?
It's possible that in a major downturn, many people get afraid and sell their stocks and buy bonds. That could provide enough inflows into bond funds where there are net fund inflows. For people like you who are selling $100 of the fund, they just make an accounting entry and take $100 from the $500 that a scared investor paid into the fund, give it to you, and take the remaining $400 and buy more bonds, not selling any.
I don't know the relative magnitude of the flows. It could depend on the overall market trend and what is happening on a weekly or daily basis. There are companies that track fund flows, but I don't think they can do it on an individual fund basis. The mutual fund company knows of course.
Agreed. Then again, what are we supposed to do at least once a year? Rebalance our portfolio! And if stocks are down, that means rebalancers sell bonds to buy stocks. That could lead to some big flows out of bonds. Anytime that a bond holder sells a low interest rate bond early, they lose value off of their bond holding because the bond face value is discounted due to the low rate. If those bonds were owned by a fund, the fund loses value. If the person purchasing the bonds is purchasing the bonds IN THE FUND, it's a cash flow wash. But if the entity purchasing the bonds isn't doing it as a bond fund shareholder, but instead is purchasing the entire bond to hold in their own right, it's a loss for the bond fund value.
Does that make sense?
Sure.
The other thing you might not be considering in your analysis is mark to market. I am fairly certain that mutual funds, including bond funds, have to price their assets at market value every day and reflect that in the NAV. So in the example you're talking about here, the loss of value in that low interest bond due to rising market interest rates gets reflected gradually in the NAV as interest rates rise. When it actually gets sold (perhaps to meet redemptions), it's just an exchange of cash for a bond, and the NAV doesn't drop as a result of the sale.
So in the end, that loss of value happens gradually over time as the worth of the fund's assets declines due to rising rates. It isn't due to the sales of any bonds to meet redemptions.
There is another effect which could happen, which is if a bond fund has to meet an extremely large and extremely quick amount of redemptions. If they have to sell so many bonds at once, that would flood the market and they wouldn't be able to get what they thought they could. I don't know if that has ever happened to a bond fund, but it could. I would think this would happen only if there were some sort of scandal or market shock, like if the Fed chair died or something. In the normal course of ebbs and flows, I think this would be a non-issue.