gh-38026: Do not create `spkg-*.log`, `spkg-*.time` files
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- Clean up after #37391, which used `sage-logger` for prefixing output;
generating the log/time files was a side effect, which has not proven to
be useful
- Fixes #37887 @jhpalmieri
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### :hourglass: Dependencies
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- Depends on #37840 (merged here)
URL: https://github.com/sagemath/sage/pull/38026
Reported by: Matthias Köppe
Reviewer(s): Kwankyu Lee, Matthias Köppe
