and by lin I mean line (Acronym Renton Hates)

I was reading Renton's SS-NLHE Ring Strategy when I came across this:

The only difference with KK specifically is when the flop is ace high. In this spot my standard line is to continuation bet the flop (for about 2/3 the pot) and check and fold the turn
I am a sit'n'go player who has recently made the shift to ring games. My default line for when I have KK and an ace flops in a sit'n'go is to get to showdown cheaply as hell and catch bluffs along the way.

Shouldn't we use the same logic for ring games? Take this hand for example:

Villain is 20/8 over 120

PokerStars No-Limit Hold'em, $0.10 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

UTG+1 ($12)
MP1 ($5.85)
Hero (MP2) ($9.75)
MP3 ($10.75)
CO ($10)
Button ($8.05)
SB ($5.90)
BB ($11.30)
UTG ($3.10)

Preflop: Hero is MP2 with K, K
3 folds, Hero bets $0.40, 2 folds, Button calls $0.40, 2 folds

Flop: ($0.95) A, J, 6 (2 players)
Hero checks, Button checks

Turn: ($0.95) 9 (2 players)
Hero checks, Button bets $0.60, Hero calls $0.60

River: ($2.15) A (2 players)
Hero checks, Button bets $1, Hero calls $1

Total pot: $4.15 | Rake: $0.20

Results:
Button had 4, 4 (two pair, Aces and fours).
Hero had K, K (two pair, Aces and Kings).
Outcome: Hero won $3.95

or this hand:

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Hero (CO) ($10.90)
Button ($10.65)
SB ($5.80)
BB ($16.50)
UTG ($11.05)
UTG+1 ($12.15)
MP1 ($10.40)
MP2 ($2.15)

Preflop: Hero is CO with K, K
4 folds, Hero bets $0.30, 1 fold, SB calls $0.25, 1 fold

Flop: ($0.70) A, 10, 8 (2 players)
SB checks, Hero checks

Turn: ($0.70) Q (2 players)
SB bets $0.60, Hero calls $0.60

River: ($1.90) 8 (2 players)
SB bets $0.60, Hero calls $0.60

Total pot: $3.10 | Rake: $0.15

Results:
SB had J, J (two pair, Jacks and eights).
Hero had K, K (two pair, Kings and eights).
Outcome: Hero won $2.95

If we bet these flops aren't we just getting worse hands to fold and better hands to call? Does the fact that we do not have to worry about elimination factor into Renton's advice for leading the flop?