Do they work any better than Wet Ones or other wipes at removing lead residue? I don't know. I assume Hoppe's wouldn't be making the claim they do without some kind of testing data to back it up.
Are they worth the money? Well, that's a whole other question.
If you're concerned about lead getting into your system through the skin, the advice I got when learning pistol was to wash with cold water and liquid dish soap so your pores don't open up. Light gloves might be a cheaper alternative in the long term than buying wipes if you shoot a lot. I could see using these in a pinch if there's no running water where you're shooting. Or if it's hot and your pores are going to be open anyway.
If they're like the Hoppe's ones they will dry out after a few weeks once the seal is broken. Maybe store the whole bottle in a big ziploc bag so they will last longer.
Nope, don't need to, never plan on ingesting lead, most reloading is jacketed and shot is in containers. So I don't handle lead much. Used to bite lead sinkers but even those days are gone, don't do that type of fishing anymore.
Where is the lead residue coming from that is causing the concern? I doubt it's coming from lead shot, lead shot is solid. I've seen threads on lead levels in the bloodstreams of reloaders and it's not an issue.