More than $4.5T in bonds bought in multiple policy regimes over years and have been halted for sometime but we can't use that as a benchmark? I suspect it has something to do with not aligning with your narrative.
How about Japan pre GFC since they started QE in March 2001[1] meanwhile CPI in japan since 2001 has remained near 0[2]. Is 17 years enough data points? Which QE regime that resulted in any meaningful inflation or wage growth would you like to discuss? I'm afraid any I'd bring up from G7 sovereigns would be marginalized due to your credentials.
Buying bonds does not help out anyone other than the rich. Artificially reducing interest rates makes borrowing easier which companies take advantage of[3] to buy back stock[4] which adds buying pressure to risk assets. Fewer shares to buy[5] helps the "E" in the P/E through financial engineering.
Who buys those corporate bonds for the juicy yield (besides the ECB & BOE)? Hedge funds & those who have disposable income that can be allocated to risky assets via pensions & mutual funds. Not part-time workers or FTE's that live pay check to paycheck which most do[6].
QE doesn't primarily benefit the rich, it ONLY benefits the rich.