A receiver peep is quicker, but the tanger more deliberate/accurate, and better for target shooting and/or longer-rang unhurried shots on game.

Yet another option would be to swap the rear barrel sight for a folder of the same height, and zero it for relatively short/fast shooting - say 50-75 yards.
Then also mount a tang peep sight, zeroing the tanger for a longer range - say 125-130 yards.
That way, the issue height front sight can be used with both rear sights.
For hunting, the gun can be carried with the tanger folded and the barrel sight up, for any shot that quickly present themselves.
There is usually ample time to fold the barrel sight and raise the tanger for either a longer range shot on game, or at targets.

Here's a Winchester, so equipped:

[Linked Image]

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It ain't no fun, when the rabbit's got the gun