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The slowdown is irrelevant. What matter is if the rate of decay was thousands of times higher in the past than it was now, that is thousands of times more radiation and I'm not even sure what other consequences there are. If you want to propose the decay rate was much higher, you need to explain how its possible for atomic forces to change like that, and predict the physical consquences of that, and look at old layers to see if those predictions are verified. If you can't then your theory is speculative.
Radiation has always existed, I am not sure what changes would you expect to see here?
Very very slow change in atomic forces over millions of years in our universe might be too hard to measure. I think we assume it's constant but I don't know how we'd prove it one way or another.
I am not sure which other independent methods you are referring to. Without half life measurements, what other methods are used for billion-year-scale measurements?
In other words, how would we prove it one way or another.