NONONONONONONO! Replace rings in full sets! Once a ring has been removed from contact with the cylinder wall, it has to re-establish a running fit if it's reinstalled,and basically go through the break-in procedure again. The newer design oil ring with an expander and two thin rails is able to conform to cylinder irregularities better than the old one-piece ring. It also resists clogging of the drain holes better. I'd suggest going to a modern-design 3-piece oil ring, and whatever compression and scraper rings the set contains. There's no point in taking a leap backward in technology just because new "old" parts are available. That's particularly true of one that doesn't get driven regularly. The newer-designed rings are more likely to last longer in occasional use.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!