If the pump can build pressure at a good rate as it approaches 60, then 40/60 would not be worse for the pump. If the fill rate slows a lot as it approaches 60, you would not want that. The thing you would want to avoid is the pump not being able to get to 60 if things change a bit. I don't know how to quantify, but how about cranking up the precharge to 43 and setting your new 40/60 switch (clockwise on nut on big spring) up to 45/65. If the pump turns off in a reasonable time, back down to 40/6o, and set the precharge to 38.
If it takes 5 minutes to hit 60, back the switch off to maybe 35/55. Whatever you adjust to, adjust the precharge. It is better to have the precharge high during these operations than to have it low, because that will minimize stretching out the diaphragm.
Turn the range nut [on big spring] clockwise to increase the cut-in pressure and
counter-clockwise to lower the cut-in pressure. Three and a half
revolutions of the range nut will change both the cut-in and
cut-out settings by approximately 10 psi.
I am not a pro.
Edit: I would start by turning up your existing switch. Buy a new one if you want to go farther than it will adjust to.