Lead free silver solder would be a poor substitute for lead .... unless it was just for a fun project that would not be finished. It has little structural strength. Its ability to hold is in thin film bonding.
Lead work hardens somewhat, and some lead alloys, especially the ones used in marine shipfitting of days past, are much harder. IIRC, the grain disruptions re-form in lead at room temp, so working it does not make it brittle. Lead rivets would have to be larger diameter, and have either stepped seats or largely chamfered holes.
A trivia footnote:
The fact that lead does not become brittle due to age or working it allowed it to be shaped into pipes thousands of years ago. Once a layer of oxide formed, it was like a lined pipe and lasted almost forever. Even today, they dig up lead water mains in some of the older cities that are still carrying water.
Thanks to the issues in Flint Michigan the general public now knows that lead water pipes that were laid to the houses 100 years ago are still under many older US cities.
In Norfolk, VA we dug up a 24" wooden water main during an expansion at the water plant. It was made from cypress and had been in the ground well over 150 years.
Those of us old enough remember phrases like "it felt like I was hit with a lead pipe", and playing Clue where "Col. Mustard did it in the Study with a lead pipe." To the people who said those things in the 1920's thru 1950's, they made perfect sense.