I don't know the Marlin 62, but I do know the Savage 99.
Don't confuse "cocked when closed" with "cock on closing". They mean different things.
"Cock on..." means that the majority of the work (or even all of it) needed to cock the gun happens when the bolt moves in that direction.
A cock on opening gun will have the hammer/firing pin spring in the cocked position with the action OPEN. A cock on closing gun does not.
A cock on opening gun may seem to "cock on close" but what you are seeing on the closing stroke is the end of the process.
Other than revolvers, break action hammer guns, and some antique designs (Spencer, etc) everything I can think of is ready to fire when the action is in the closed position. They are cocked when closed, but not cocked AS they close. They are already cocked when you begin to close them.
Cock on close bolt actions are older military designs, and sporters derived from them.
The Savage 99 cocks on opening. You won't see the cocked indicator pin until you close the action, but the mechanical work needed to cock the gun is done when you open it.
Look at the classic WIN/Marlin lever gun with their hammer. They are cock on opening. So is the AR-15. So are a nearly all repeaters these days. IF it has a hammer, that gets pushed down when the bolt comes back, its cock on opening.