Have I misunderstood the following:
Originally Posted by Tim Thompson
Alfvén also published a paper whose abstract states:
In 1967 Alfvén  noted evidence for the presence of electric fields parallel to magnetic fields, implying that the electric conductivity is not infinite and the magnetic field lines are not “frozen in.” (Later Alfvén  recalled that the “frozen field” concept had given him headaches for several years.) In Stephen G. Brush, "Alfvén’s Programme in Solar System Physics
Alfvén also wrote:
The concepts of 'frozen-in magnetic field lines' and 'field-line reconnection', which are frequently used in discussions of the theory of the magnetosphere, have been criticized by Alfven and Falthammar (1971), by Heikkila (1973), and by Alfven (1975). In the present paper, it is demonstrated that both concepts are unnecessary and often misleading. The frozen-in concept is shown to belong to the pseudo-plasma formalism which is useful only in special cases. (From: Alfven, H., "On frozen-in field lines and field-line reconnection
I thought that the frozen-in concept was very good from a pedagogical point of view, and indeed it became very popular. In reality, however, it was not a good pedagogical concept but a dangerous "pseudopedagogical concept." By "pseudopedagogical" I mean a concept which makes you believe that you understand a phenomenon whereas in reality you have drastically misunderstood it.
At that time (1950) we already knew enough to understand that a frozen-in treatment of the magnetosphere was absurd. But I did not understand why
the frozen-in concept was not applicable.
In 1963, Fälthammar and I published the second edition
of Cosmical Electrodynamics
 together. [..] We analyzed the consequences of this in some detail, and demonstrated with a number of examples that in the presence of an E||
the frozen-in model broke down. On [12, p. 191] we wrote:
"In low density plasmas the concept of frozen-in lines of force is questionable. The concept of frozen-in lines of force may be useful in solar physics where we have to do with high- and medium-density plasmas, but may be grossly misleading if applied to the magnetosphere of the earth. To plasma in interstellar space it should be applied with some care."
Since then I have stressed in a large number of papers the danger of using the frozen-in concept [..] The most important criticism of the "merging" mechanism of energy transfer is due to Heikkila [40
] who, with increasing strength, has demonstrated that it is wrong. In spite of all this, we have witnessed at the same time an enormously voluminous formalism building up based on this obviously erroneous concept. Indeed, we have been burdened with a gigantic pseudoscience which penetrates large parts of cosmic plasma physics. (Alfven, Hannes, "Double layers and circuits in astrophysics