Logically shouldn’t the “curse” just transfer over to Emma and make her asleep while Snow awakens?
No, it wouldn’t pass to Emma. She has her own heart, and thus the sleeping curse isn’t transferable to her. The only reason that the sleeping curse has been transferred between Snow and Charming is because they share one heart. Prior to S3b, the sleeping curse wouldn’t have passed between Snow and Charming. Before Snow split her heart to save Charming, a TLK from him would have simply awoken her from the sleeping curse (and vice versa), as it did in the pilot.
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"That’s how you know you’ve really got a home. When you leave it, there’s this feeling that you can’t shake. You just miss it." Neal Cassidy