For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
de Sitter Black Holes, Schottky Peaks, and Continuous Heat Engines
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Limits on the Statistical Description of Charged de Sitter Black Holes
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.