Gresham's law is grossly misunderstood. For one thing, Gresham's law is a warning, not advice. Gresham's law is about when different quality of money is treated as though it has the same value, because the better quality has more value, people will choose to spend the lesser quality first.

Gresham's law is essentially a market repricing dynamic. The lesser quality should have a lower price than the higher quality, but because that isn't reflected in the market, people hold and wait for the price the higher quality deserves.

"Gresham's law doesn't apply to Bitcoin" because there is no lesser quality Bitcoin or higher quality Bitcoin.

Now about introducing inflation to Bitcoin, again, why is the focus here rather than a discussion about the initial problem that brought up the discussion: https://www.cs.princeton.edu/~arvindn/publications/mining_CCS.pdf

At a certain point of playing central banker with Bitcoin, we might wonder, what was the point? Instead, we could look at a myriad of other solutions, for example demurrage: #84153

In fact, why Peter Todd decided to make inflation his primary focus of discussion rather than demurrage, or even the actual problem these solutions are actually trying to solve, is beyond me.