Interpolating 3D data (X, Y, Z, value)...and adding a time component.

[nicolas.vuaille (Nicolas Vuaille (Kitware))]

Hi,
Animation and temporal mode are a tricky thing in ParaView. The recommended mode is still Snap to Time Step. You can find some details in this (quite long) discussion:

ParaView Time Refactoring

Seems to me that all this is stemming from the fact that you want to link world-time with time in ParaView. As @Kenneth_Moreland mentioned, ParaVIew is not a video application. It’s not meant for editing videos. Thus, an expectation that time in the application is same as what the user-perceives in real world is not reasonable. In fact, I’d argue that we get rid of real-time mode entirely. It was only added as a toy since it was technically possible. In hindsight, it should have never been there…

As a workaround in your case, you can use the Temporal Snap To Timestep filter, with Snap Mode to Next Below or Equal.