I have three 350 Monzas in the garage now. None are mine though. One is a racer, one is an original road bike, and the third is a parts bike.
If I had a Ducati 350 in my garage, and it didn't belong to me, you can be sure that I would be carefully and lovingly babysitting it for someone, and that the storage agreement would include the occasional ride and (given that it's a Ducati), the occasional "Italian Tuneup"!
It's the best thing for everyone, including the bike!