The author of that article obviously paid by the Ver side to promote BCH.

Most commonly the transaction fee depended on what Bitcoin wallet you've used. If you will not customize the fee it will automatically calculate to the appropriate fees that have space on the block, usually small transactions must be prior to the big amount of transactions. It means that a larger transaction it is also has a large fee to be included by the next block.

I don't know technically how transaction work in BCH but if you look through this median transaction fee they are almost the same by the Bitcoin and even Ethereum.

That's right, let's wait when we will properly apply this Lightning Network in all Bitcoin wallets. It might problem solve through this recently high fees.