It's also true that Rigida has made some of the most-fragile rims in both single-walled and double-walled styles. Many such Rigida rims are also among the lightest of their type, but which may not look like it from looking at them.

I might personally re-lace the rear wheel if it was in great shape (other than the spokes), if only to preserve the matching rims.
But in my case, I have spoke inventory and a ton of experience doing this. I wouldn't recommend it to anyone who wasn't fully enthusiastic about approaching the learning curve and with plenty of spare time, during which the bike won't be usable.