I've been doing the Sprint 8 protocol since about 2002. I'd have to look up the newer studies, but it's something about needing 90-120 seconds for the energy systems to recover enough to do another extremely hard rep. To boost metabolism/T levels and hGH, you need 90-120 seconds to recover. For hypertrophy, it's also 90-120 seconds. For other purposes directly related to running performance, the rest can be shorter. In fact, I often do running intervals with recovery as short as 30 seconds.
However, the betaine study is more recent so I can give you more details on betaine. It does NOT boost testosterone directly. Instead, it reduces cortisol levels. Cortisol is produced by endurance and/or extreme exercising. I don't remember the exact mechanism, but cortisol interferes with other hormones and the end result is less testosterone. Chronically high cortisol levels are part of the reason why many distance runners have low testosterone levels. Basically, if you reduce your chronically high cortisol level, your body gets to keep more of the natural testosterone it produces. Here's a study.
In the placebo group, T levels dropped from 3.6 to 2.9 over the course of a 14 week soccer season. Their cortisol levels went up by midseason and came down to near the starting level by post season. The betaine group however saw a continued decline in cortisol to mid season and continued to decline to post season. T-levels in cortisol group increased from 3.3 to 5.9.
The difference between the two groups was striking.
T levels dropped -20% in the placebo group and increased 79% in the betaine group in 14 weeks.
I'm surprised that this study hasn't gotten more interest in the distance running community.
https://www.ergo-log.com/betaine-testosterone.html