If both contacts make connection they would be parallel not in series. If the lamp is damaged, so what, they are already bought and paid for. I can't imagine any way that they would short and burn a fuse.
One contact would be at 12v, the other at ground. The base would be floating, or possibly at ground. If floating, the 2 parts would be in series, if at ground one segment would light normally, the other would not light.
I don't know how the contacts are aligned with the pins, they are probably the same as the single filament bulb but if not they could cause a short.
Edit: Chris, you are right, I forgot about that.
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As Chris Bryant implied, the socket is wired for the 1076 bulb. The socket has two contacts. One contact is at 12v, the other is at ground. The base could be wired to ground or not wired at all. For your suggestion to work both contacts would have to be wired to 12v and the base wired to ground.
It gets confusing, as they do use the dual filament bulbs as well sometimes, for a 3 way 12 volt light. The most common problem is people putting single contact bulbs in the 1076 base- they will fit fine because the base is not indexed (the side tabs are even), but if they are lucky, the bulb will simply not light- or it will short thew two contacts and blow a fuse.