How Often Do Critical Hits Underperform?

Critical Hits are often the subject of homebrew rules. Driven by the perception that critical hits frequently underperform, these homebrew rules juice up the damage of critical hits to a more impressive level. They're often implemented after a player waits 20 rolls (on average) to score a critical hit that lands with a thud. But, is this underperformance a reflection of perception or reality?

Lucky Feat: RAW vs. RAI

After last's week post calculating the success odds for the Lucky feat, some folks who run the Lucky feat a little differently asked me to run the odds on that iteration. Since this homerule is popularly employed, including by D&D Lead Rules Designer Jeremy Crawford, we're running the odds and evaluating the comparison.