Suppose stock X gets 1% in that basket. The issue is if stock X happens to be very illiquid, the APs selling stock X could drive down the price.
In a non ETF, managers could decide to relatively slow down the sale of X, to prevent crashing the price. However, in an index fund the mechanism dictates all stocks are sold in the same proportion.
If you are panicked, and are selling your ETF, your evil twin is panicked, and selling all their stocks.
This causes the exact same downwards pressure on the market.
I don't buy an ETF because I want someone to do financial malarkey with my money. I buy it because I want to own stocks, and I can't be assed to deal with my own brokerage account. Besides the convenience aspect, there is zero difference between the two.
Moreover, if my evil twin a) owned a managed fund or b) sold in a slightly smarter way, then they would lose less on X due to liquidity.
Moreover, the hit on Xs price also has a slight hit on the ETF value. Hence there is a small positive feedback loop.
They'd still follow the same herd mentality that they would, had they owned ETFs.