I do think that there are two things going on that explains the past couple weeks' breakthroughs:
1) A lot of conjectures are weakly grounded.
2) Maybe humans are biased towards proving conjectures rather than finding counter-examples (prestige in finding proofs, tedium in searching for contradictions, etc.)
3) Math is one of the rare fields that can be 'solved' in pure token space without needing empirical or subjective-opinion support