In an inflation environment equities usually do not feel great, since inflation causes shrinking margins and it takes time to pass rising costs on the consumer. Analysis from the Hussman Funds based on statistical data predicts that nominal return from equities in the next decade will be zero to negative.
I think it's unlikely (but not impossible) that we will see a direct repeat of the recent QEs. We probably will see something similar to the Japanese yield curve control and you can easily see how the Japanese equities performed in the last two decades.