Try setting the updatemode of the updatepanels to Conditional
UpdatePanel.UpdateMode Property (System.Web.UI) | Microsoft Docs[
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That should mean each panel only updates when something in it triggers the update, it won't update when other panels update. Note that the code-behind lifecycle for the entire page will still run though (I think, this is from memory) but the browser won't update for your other dropdown so it should remain static.