actually the frequency can make a difference, as the output of the adapter will not be exactly a flat line but will vary in time with the input frequency. As well as this, the adapter you use may be designed for a particular frequency in mind and as such using it with a slower frequency AC input could cause the output to vary even more. You should always buy adapters rated for what you plug it into. If the adapter says 60Hz then you should plug it into 60Hz. If it says 230v you should plug it into 230v. Most adapters are able to handle most standard AC input voltages.
What this means is that the European AC adapter is definitely your best bet. It is rated for the wall current that you have and as such is definitely the best option and will give your Wii the healthiest supply.
Also, always ALWAYS buy first party power supplies. Of all components, power supplies should be the LAST you cheap out on. No matter what the product. The power supply is the most important part and if it's cheap will often die quickly, and can also take out the unit with it. NEVER purchase cheap power supplies for any electronics
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