The push button safety is a better, safer mechanism. You may not like the looks, but it is the better mousetrap.
You can search, and you will find examples of accidental discharges in hammer leveractions. Perhaps the most common is the hammer slipping out from under the thumb when lowering the hammer to the safety notch. Rare event but happens.
Then there are weird stories like the one I heard direct. The gentleman had been given a Marlin to deer hunt. He was familiar with single barrel shot gun transfer bar mechanisms. With these things, you simply lower the hammer completely down.
So, the gentleman loads his borrowed 30-30 Marlin, lowers the hammer all the way down. Now the hammer is resting right on the firing pin.
The gentleman leans over to pick up his marking tape, his back pack slides over and wacks the hammer of the slung rifle. Bang goes the rifle, right beside his ear. Now his hearing in that ear is not so good . If the muzzle had been a bit more lined up with his head, he would be dead now.
As long as the button safety is on, the hammer is not reaching the firing pin.
So even if brush manages to pull the hammer out of the safety notch, it is not going forward to the firing pin.