In all Minecraft Java versions (probably from 1.7) the camera tilting was introduced when the player flies up, down or just jumping. However, the camera tilting just disappeard in 1.14. I have attached the comparsion files between 1.13 and the latest version. The difference is obvious. 1.13 camera feels a lot nicer comparing to the latest versions.
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I believe the attached videos use pojavlauncher, which is modded, however I can definitely confirm that camera tilting existed to some extent in previous versions in vanilla. 1.14 redid a lot of camera related stuff, so that's likely the reason why it no longer happens.
Here's a world that can be used for easily reproducing this issue, for use in 1.13.2 and up:
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Here's results in 1.13.2, 1.14, 1.20.1 and 23w33a (use command /tp @s 0 300 0 -180 90):
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Duplicate of MC-225335.
This looks like an Bedrock Edition, is it a Java Edition?