http://plasma.colorado.edu/phys7810/articles/Alfven_FieldLines_1976.pdf
The first four sections of that short paper describe a gedanken experiment in which the magnetic field is stationary. With a stationary magnetic field, there is obviously no magnetic reconnection.
In section 5, however, Alfvén explicitly acknowledges the legitimacy and potential relevance of magnetic reconnection in non-stationary fields:
That passage confirms my interpretation of Alfvén's remarks in his keynote address, while refuting
Michael Mozina's interpretation of those same remarks. Alfvén acknowledged the physics of magnetic reconnection, and acknowledged the "possibility" that magnetic reconnection "may be applicable" to the scientific problems that concerned him, but he was skeptical about its applicability.
As
tusenfem and
Tim Thompson have pointed out, magnetic reconnection has been observed in space. The relevance of those observations to the problems that interested Alfvén may not be entirely clear even today, but pseudo-scientists who reject magnetic reconnection out of hand or deny its potential relevance cannot support those prejudices by appeal to Alfvén's authority.
That rejection is explicit in section 6 of the paper: