Yes and no. Prepaid cards (like the Electron) are usually sold through third-party vendors and may be more susceptible to fraud or theft reports. They're not secured in the same way credit cards are. If a merchant has had problems with payment methods, they are free to reject those methods.
After an ordeal with ID theft, I looked into using a prepaid debit card for online use. In the U.S. anyway, there were so many problems with the vendors of the cards (not with Visa or Mastercard, but with the companies that held/payed out the funds) and so many places that wouldn't accept them, that I decided it wasn't worth it.
I opened a second checking account, got a debit card for it, and just use that. I deposit funds into the account and it's not linked with any of my other accounts. So if the data gets stolen or misused, my losses will be minimal. Have never had a vendor refuse an actual debit card (excluding car rentals, hotels, airlines).