I disagree, I suck out on the river has been the source of many an ulcer. You want the chaser to fold up shop and go home. A pot won on the turn is much better than one that has been lost on the river.
I apologize for the long post...
Zach is probably going to answer this much better than I will. I'm not too good at explaining math and calculations. I'm sure I have some errors that he will kindly fix (rite, Zach?), but hopefully the point gets across.
If you're opponent is chasing their draws with the improper odds, you do not want them to call because it'll be more profitable for you in the long term. Whats the point of getting them to fold on the turn if you can gain extra bets from an opponent by the river?
Let say there is $10 in the pot by the turn and you bet $6. Your opponent has to call $6 to win a pot of $16, which is giving him 2.7:1 odds to call but the odds of him hitting the flush on the river is 4.1:1 or 19.6%
You can win a $22 pot 80% of the time or a $10 pot 100% of the time. $22 x .80 = $17.6. $17.60-$10 = extra $7.6 you are losing.
So, lets say we do this situation 100 times. Assuming there is no betting on the river, you stand to either win an extra $6 from your opponent 80.4% of the time and you will lose $6 19.6% of the time. Your opponent will win a $6 bet by you 19.6% of the time, but will lose $6 80.4% of the time.
You:
$6 x 100 = $600 (total cost)
$6 x 20 = $120 (lose)
$600-$120 = $480 in profits from extra bets.
Lets look how much you can from the total pot of $22, assuming there is no more betting on the river.
You:
$22 x 100 = $2200
$22 x 20 = $440 (lose)
$2200-$440 = $1760 in profits
Now, you'd rather win the pot on the turn right now and not gain any extra best from your opponent. Lets look at this situation x 100
$10 x 100 = $1000 won. This is nice, but you are losing a lot of money by not betting out. In the above example of betting $6 into a $10 pot, you gain $480 in just extra bets alone from your opponent. Where as you gain $0 in extra bets by making your opponent fold. If we compare the total pot you can win after 100x. $1760 (in profits after $6 call) - $1000 (no extra bet) = $760 in potential money lost. Imagine if we ran the same situation 1000x or 10Kx. Think of how much money you are losing in the long run.
Sure, you can win a small pot now but you are losing so much money in the long run if that is your way of thinking. If you can get your opponent to call your bets with improper odds, you stand to make more money.