Cardboard box trick: I've seen this written so many times it's almost becoming like an urban myth. It works, for sure, but
only if you really think you need it. How do you know? 1) first timers; 2) if your winch pawls are "outside," usually on smaller single speed winches
Instead of the box, use some towels, easier.
And for many of us with two speed winches on 30 foot boats, at least for Lewmars, once you remove the drum, ALL of the pawls (all two of 'em?) and gears are INSIDE the metal around the spindle and the base. To even get to them you have to remove pins that hold the gears in and slide them out. If you're knimbnuts with these huge gears and are concerned about dropping them over the side, then sure, get some cardboard boxes, but if that's your problem then you might have difficulties keeping winch handles from dropping overboard on a regular basis.
Good luck.
PS - I bought a box of the Lewmar service kit with pawls, springs and lube in 1998, still going strong. Regular service will keep your original pawls & springs almost forever.