Untested on other providers, however it appears that when I have caching enabled, the iFrame does not include any of the additional parameters defined in templates (for context I'm trying to add the enablejsapi parameter). I tried flushing and clearing all caches, creating a new entry with a video that had not been embedded on the website before and in all instances the embed didn't include the parameter in the iFrame src. When disabling the cache the parameter appeared as expected.

I did try disabling the cache for an extended time but was quickly rate limited by YouTube.

oEmbed version: 1.3.6
Craft CMS version: 3.6.11.2