I think the general questions is more how loose our opponent is.
Most players I encouter have a big steal range from CO and raising range and a small calling range + they give you credit for a good hand and will not really float that much and they will never bluff raise the turn.
I just hate the line c/c c/c c/f....
Its quiet easy to put villain on a range of hands if we 3-bet OOP. Most standard are TT+, AQ. Its never really a K, its not low PPs.. Never really KQ, very rarely AJ. Hence our play after the flop is much easier.
The second scenario you described.... they are taking you to value town so often, with cards like QJ which they would fold to a 3-bet.
Oh and here is another scenario:
Scenario 3:
---------------
Reg opens $2
Hero calls
Flop (Pot = $4): 357r
Hero check/calls $3
Turn (Pot = $10): 2
Hero check/calls $7
River (Pot = $24): 5
Villain bets 14$
Now?
I want easier decisions when I play poker. The c/c line sucks with overcards and undercards, especially turn c/c. A reg can fire a third barrel and why shouldn't he? You just c/c c/c and hence don't hold much or you will let it go on the river.. because well thats the c/c line... passive and loose.... don't see much +ev in it in the long run.
Like in the example you gave. In his mind you can have J, but only very rarely will you have Kx here since you wouldn't float that on the turn.. like KQ float.. very strange. Sometimes KJ, but wouldn't you raise the turn then or bet out river?
Hence any J will fold to river barrel, any pair will fold, except Kx... so yeah bet again from time to time.
At the end of it, giving initiative to your opponent on all streets OOP holding a marginal hand compared to the flop and turn which you have to fold to a river bet is a pretty bad idea.