Why not?
If I were calling coyotes on the prairie and I needed quick follow up shots, I'd use an AR style semi auto. If I were hunting dangerous game I'd probably use a double rifle. A lever gun is faster that a bolt if you know how to use it. How many times do you recall needing an immediate second shot. Single shots can be lighter and shorter. One is not limited to magazine length for cartridge OAL. Actions on single shots can be very strong. With single shots such as the Thompson/Center Contender or Encore one can interchange barrels ad infinitum.
Here are a few more reasons why I own single shots, but these are purely subjective.
Best
GWB
Cooper model 21, 20 Tactical,
Winchester High Wall, 270 WSM
Remington 700, 7 STW (yes its a singleshot)
Browning High Wall, 30-06
Cooper model 38, 22 hornet
Cooper model 22, 6.5 x 284
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Remington 700, 22-250
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Merkel K1 7mm-08
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Ruger #1, 458 Lott
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Martini custom, 30-30 WCF