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I once used astrophotography tool DeepSkyStacker for that.

Loaded all my photos as light frames, prepared and loaded a dark frame, turned off alignement, post-processing etc and turned on "Create a calibrated file for each light frame". It subtracted given dark frame from every photo and exported them to 16-bit TIFFs.

It can be used from command line if you want to automate it more or make custom GUI. Windows only unfortunately, but it is open source.

If you use Lightroom, make a 1 pixel patch around the hot pixels, and then copy/paste the edits. Basically every other image editing software is also going to allow a similar workflow.

I'm pretty sure you can do that in photoshop batch actions for a good 15 years