I think people are getting lost in the semantics. On plays that the mathematical advantage (expectation) can be calculated within reason, you can use that info. If a play is worth a $100 an hour and you want to make $2000 a week you need to execute 20 hours of playing time on that edge. As with any kind of gambling there will be a variance with the actual results at the end of the week. That variance can be calculated as well and the results will help you to decide if your edge is playable due to bankroll size, time availability, length of exposure, and many other determining factors.
If you are running above expectation you can reasonably expect at some point to revert back(run bad) to the expectation. If you are running below expectation you can reasonably expect to converge(run good) with expectation at some point.
The whole "accumulating EV" is basically a reference to the action you are getting down on the edge, in order to make anything and get anywhere. The amount of play you accumulated will reflect with your overall results depending on the variance (volatility). Probably not the best terminology but it is what it is. Anyone who understands EV understands what is being implied.
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