[tcskeptic]

Unless you have a way to drip feed chlorine into your pool it absolutely will not have the same chlorine level, unless you are running your sag incorrectly.

[rootusrootus]

Automatic chlorine dispensers are fairly inexpensive (and certainly cheaper than a chlorine generator). There's very little reason to manually add chlorine yourself unless you're SLAMing the pool (shock level and maintain, if you're unfamiliar with TFP).