When letting SF play against itself, there is a significant contempt-like effect in that the eval is biased to the side to move. E.g., look at the below shootout (with shared hash, version from 7 November):
[FEN "rbbnkqnr/pppppppp/8/8/8/8/PPPPPPPP/RBBQKNNR w KQkq - 0 1"]
- e4 {0.97/38 47} e5 {0.66/38 61} 2. c3 {0.96/42 120} c6 {0.85/41 77} 3. Ne3 {1.00/42 22} d5 {0.88/45 293 (Nf6)} 4. exd5 {0.99/37 16} cxd5 {0.90/40 63} 5. Nxd5 {1.03/39 24} Qc5 {0.87/41 57} 6. Qf3 {1.10/45 204} Qd6 {0.96/41 97 (Ne7)} 7. a4 {1.14/41 20} f5 {0.93/39 61} 8. d4 {1.04/40 41} Be6 {1.01/40 65}
If the features causing this are really necessary strength-wise, it would be nice to at least have a formula that could estimate the "true" evaluation based on the side to move.