Most of the "official" knowledge of Chinese Export seems to comes from a written question by Zuzana Roithová (PPE?DE) to the [European] Commission, and a You-tube video of the same woman explaining the problem. However the answer that the Commission gave Ms Roithova holds that there is no "Chinese Export" mark, and that the use of the bad logo is unrelated to the marking of non-compliant goods.
The Commission is aware that there exists the misconception attributing CE marking the meaning ‘Chinese export’. The Commission is not aware of the existence of a ‘China export mark’ but considers that the mark the Honourable Member refers to constitute the CE marking as foreseen in the European legislation without, however, respecting the dimensions and proportions prescribed therein.
The Commission is aware that CE marking, like any other mark, is misused, e.g. CE marking is affixed to products which do not fulfil the requirements and conditions for its affixing or it is affixed to products for which the affixing is not foreseen. There are also cases where, whilst the product is in compliance with the applicable requirements the CE marking itself does not respect the formal requirements, namely the form of the CE marking or the dimensions and proportions prescribed in the legislation...
This seems to be entirely in line with my experience, where the bad logo is in no way limited to bad devices. I notice that in Ms. Roithova's YouTube video there is an example of a bad logo as an example of a good usage of the CE mark. Maybe this mark is understood by some Chinese to mean "Chinese Export", or maybe they feel that it is a good joke to describe it so. That does not make it an official, semi-official or even ad-hoc standard. The fact is that manufacturers who want to import non-compliant devices to the EU will make the CE logo as accurate as they can. There is no advantage to them in using a logo that can be distinguished from the official CE mark.
The trademark issue is being addressed.
...The Commission has already initiated the procedure to register CE marking as a Community collective trademark. National market surveillance authorities will have an additional means to take legal action against manufacturers providing non-compliant products and misusing CE marking. In addition, economic operators/competitors will be entitled to bring proceedings for infringement and to claim for compensation.
-- Answer given by Mr Verheugen on behalf of the [European] Commission (exerpts only)