*Not only does John like English but also speaks it very well.

张满胜文章用句（表示是错误句子）

我认为，这个句子的毛病在于语义方面。“喜欢英语” 和“讲得好” 无法构成 “递进关系”，即：not only...but also...。除此之外，句子结构没有任何毛病。
我把这句话转化为正常语序：

John not only likes English, but also speaks it very well.

它的倒装语序就是原句：

Not only does John like English but also speaks it very well.

如果张满胜指出，这句话属于逻辑问题，而不是结构问题，我给他点赞。否则，我给他差评。

Not only does John like English but also speaks it very well.

= John not only likes Englidh but also speaks it very well.

关联连词not only...but (also)常连接两个相同的句子成分（即“对称结构”），自然也可连接两个谓语。请看词典例句：

He not only said it but (also) did it. 他不仅说了，而且做了。（费致德《现代英语惯用法词典》）

She not only plays well, but also writes music. 她不仅很会演奏, 而且还会作曲。《牛津高阶英汉双解词典》

He not only read the book, but also remembered what he read. 他不仅读过这本书, 还记得内容。《牛津高阶英汉双解词典》

▲ 当not only…but (also) 连接两个相同的谓语而省略第二个时，就会出现连接两个不对称成分的情况。例如：

She not only plays the piano, but also (plays) the violin. 他不仅弹钢琴，而且还拉小提琴。

He not only goes to work on weekdays, but also (goes to work) on weekends. 他不仅工作日去上班，在周末也去上班。