I took a stab at your nice hypotheses for this player. I excluded some matches where there was an under-level team (e.g. a 4.0/3.5 playing 8.0), and categorized the other ones. Here goes:
A. I expect that this 4.0 treasure trove dude will have higher average rating in 7.0 matches where his opponents are 3.0M/4.0F or 3.5/3.5 (moderate advantage) than when he plays fellow 4.0M/3.0F teams.
Not enough data to test this one for this guy - he faced 3.5/3.5 pairs in every match but one.
B. I also expect that this same 4.0 dude will have higher average mixed rating when he plays fellow 4.0/4.0 teams than when he plays 4.5M/3.5F teams (huge disadvantage).
This hypothesis isn't supported: he averaged 3.83 in 8 matches against 4.0/4.0 teams and 3.85 in 10 matches against 4.5M/3.5F teams. Only 3 matches against 3.5M/4.5W teams (3.80 average).
C. I also expect that this same 4.0 dude will have higher average rating in 9.0 matches when he faces 4.5/4.5 teams (moderate advantage) than when he faces 5.0M/4.0F teams (slight disadvantage).
He averaged 3.86 in 16 matches against 4.5/4.5 teams. Only found 1 match against a 5.0M/4.0F team (he rated 4.04 in that one). Three matches against a fellow 4.0M/5.0W team averaged 3.95.
D. I also expect that this same 4.0 dude will have average mixed rating in decreasing strength mirroring scheme’s data as follows:
1. 9.0 vs 4.5/4.5 (big advantage)
2. 7.0 vs 3.5/3.5 or 3.0M/4.0F (moderate advantage).
3. 7.0 vs 4.0M/3.0F and 8.0 vs 4.0/4.0 (equal teams)
4. 9.0 vs 5.0M/4.0F (slight disadvantage)
5. 8.0 vs 4.5M/3.5F (huge disadvantage)
Here are the averages:
1. 9.0 vs 4.5/4.5 (16 matches): 3.86
2. 7.0 vs 3.5/3.5 or 3.0M/4.0F (4 matches): 3.86
3. 7.0 vs 4.0M/3.0F and 8.0 vs 4.0/4.0 (9 matches): 3.79
4. 9.0 vs 5.0M/4.0F (1 match): 4.04
5. 8.0 vs 4.5M/3.5F (10 matches): 3.85
Not great sample sizes, but it does seem like he did a bit better in #'s 1&2 vs. #3. But then he also did well in #4&5 compared to #3.
Here's another way of comparing - all matches where the opposing male is the same level (4.0), higher level, or lower level than he is:
Any league vs. 4.0M/X.XW (27 matches): 3.78
Any league vs. 4.5 or 5.0M/X.XW (32 matches): 3.84
Any league vs. 3.5M/X.XW (8 matches): 3.83
Not really a big difference, but if those differences are real then perhaps he does press his advantage when he's the clear best player on the court, but on the flip side maybe he also steps his game up a notch when the opposing male is better.
Both things could be happening across a lot of different players and perhaps in combination they even everything out on average. Some players are good/bad at playing the role of the best player on the court, some are good/bad at holding their own as a weaker player. Some are good at both, bad at both, or good at one and bad at the other.