It would seem to me that we can automatically rule out Permatex Anaerobic sealant because the temperature range is from -65F to 300F.
I would imagine the oil peak temperature to be a lot higher than 300F??
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Addendum:
I did a google search and found that "normal" oil temperature maxes out at 240F.
However, "heavy" usage (racing, towing etc) can result in a sustained temperature of 290F.
So, it seems my argument is valid: Don't use permatex anaerobic sealant for the oil pump.