Anyone else ever risk giving a free card to induce a bet on the river from a weaker hand that would otherwise fold to a value bet?

25NL

saw flop|saw showdown

UTG+1 ($14.05)
MP1 ($22.85)
MP2 ($19.55)
MP3 ($20.05)
Hero ($24.60)
Button ($9.50)
SB ($40.95)
BB ($20.45)
UTG ($25.45)

Preflop: Hero is CO with A, K.
1 fold, UTG+1 calls $0.25, MP1 calls $0.25, 2 folds, Hero raises to $1.25, 3 folds, UTG+1 folds, MP1 calls $1.

Flop: ($3.15) 5, Q, K (2 players)
MP1 checks, Hero bets $2, MP1 calls $2.

Turn: ($7.15) 6 (2 players)
MP1 checks, Hero checks.

River: ($7.15) 7 (2 players)
MP1 bets $3, Hero calls $3.

Final Pot: $13.15