I doubt local ETFs have any major effects on bitcoin price, specially nowadays where a lot of more important news are out there that are making investors more "cautious". From inflation and recession all the way to the fresh tensions that are increasing in Europe these days (every day I read their airports shutting down due to invaded airspace! and they deploy military aircrafts to the scene. NATO is also moving from proxy war with Russia to direct war with Russia these days). Some silly rate cuts seem like nothing in comparison!
Exertly, many investors are more interested in news. In recent times political news has really had effect in Bitcoin and Crypto-currency market in general especially during the last US election and Trumps position on Bitcoin.
Investors will panic more and sell or buy more and hold when there is a big political news making the round.
It's not just any and any how political news, the market have moved far behind where little news about politics can cause a major drop on it, but investors are more concerned about the damage a major war can cause as war is one of the things which have a big negative effect on the market irrespective of what ever move or news every other institution are making onces their is major war signal investors will be cautious.