It is a commonly known wisdom, that if you do not connect a king or ace high flop, and your continuation bet was called, you can expect a call on further streets too. So second and third barrels are like burning money.
I can confirm that this theorem is correct. In my experience typical villains do not like to call ace or king high flops without a top pair, but if they have it, they have a hard time to fold it.
It is really true hard to make an average player to fold a so high top pair. So do not bluff the turn and river.