Can I sync my save games between 3DS and Wii U?

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Shantae and the Pirate's Curse is finally available in my region, and having greatly enjoyed Shantae: Risky's Revenge on DSi, I obviously want to buy the sequel; only it's available on both 3DS and Wii U, and I'm not quite certain which version I'd like to buy.
Before I decide, I'd like to know if both versions can synchronize their save games. If they can, I could just buy both and stop worrying about which version to buy.
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Can you connect Wii U and 3DS?
A Nintendo Network ID can be created on a Wii U and then linked to a Nintendo 3DS family system, or vice versa. Once a Nintendo Network ID has been associated to a Nintendo 3DS family system, it can only be moved to a different Nintendo 3DS family system through the Data Transfer process.Can you transfer Wii U save data?
Insert the SD Card into the source Wii U console. Select Next to continue. A list including details on the Nintendo Network IDs, digital content, and save data being transferred will be displayed. Select each item to review the details of their transfer, and then select Understood.Can you transfer game data from Wii U to switch?
No. Nintendo 3DS and Wii U games purchased through Nintendo eShop do not carry over to Nintendo Switch. The Nintendo Switch is an all-new way to play, and does not include backwards compatibility with digital or physical games designed for other systems.Is 3DS eShop closed?
Nintendo eShop Closure Guide. It's been over a decade (or nearly a decade in Wii U's case), but it's finally happening: Nintendo is closing down the Wii U and 3DS eShops, meaning that soon you will no longer be able to buy digital games on either platform.WARNING: Do NOT Buy Digital Wii U and 3DS Games!
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