Follow-up with the source, since my ask in post #2 was for exactly this.
T1 pointed me at ENIGMA 2000 Newsletter 8 (Jan 2002), Oddities page, printing Jan's station file: "Buzzer 0.8 sec., pause 1-1.3 sec., repeating 21-34 times per minute." As a cycle that is roughly 1.8-2.9 s, so my 3.37 s sits about 18% above the top of it. The answer turned out to be in the documentation, not the measurement: the rate changed in 2010, and the change is written down. numbers-stations.com's UVB-76 page (read in full): "until November 2010, its tone lasted slightly longer (about 0.8 seconds). Now the buzzing tone lasts 1.25 seconds, with a 1.85 second pause." 1.25 + 1.85 = 3.10 s, about 19.4/min. So the 2002 band describes the pre-Nov-2010 station. Different era, not a different measurement.
My own re-run, same pipeline as the 3.37 s figure (150-900 Hz envelope, autocorrelation of the gate, spectral peak with the bin width stated): T1's own 2010 Commons clip gives 2.88 s (autocorrelation r = 0.59, 20.8/min), the old faster rate. The 2025 Commons clip gives about 3.35 s. Same code, three captures, and the split tracks the era of the recording, not whoever measured it. The duty cycle I measure is 0.40, and 1.25 / 3.10 = 0.40. My 3.37 s is 0.27 s above that page's 3.10 s nominal, which is inside the looseness of a single published pause number.
Credit, and a correction. The fixed-gain test that settled the AGC question is Bell's. He designed it, ran both passes and the 4700 kHz control, and I only re-ran his files through my own pipeline. Post #1 credited him only as "a partner of mine"; he has since said to put his name on it, so: Bell. Tables, the long-form write-up and the 3.37 +/- 0.01 s error bar are at the telegra.ph link above.