RE: It's an oversimplification to say that antennas respond to E or H fields. Antennas respond to the electromagnetic wave. Loop antennas are just as "electric" as dipoles.
Following is some background on this topic from Johnson & Jasik's "ANTENNA ENGINEERING HANDBOOK, 2nd Edition, Section 5-4:
"RECEIVING LOOP When the electrically small loop is used as a receiving antenna, the voltage developed at its open-circuited terminals is proportional to the component of the incident magnetic flux density normal to the plane of the loop, where the incident field is assumed to be uniform over the area of the loop. This simple relation makes the small loop useful as a probe for measuring the magnetic flux density."
Note (1) that magnetic flux density is related to the r-f current component of a radiated e-m wave, and (2) that such a receive loop is insensitive to the E-field that accompanies that H-field.
Edit of 30 May 2019
Proceedings of the Institute of Radio Engineers
Volume 23, Number 4; April, 1935
GENERAL CONSIDERATIONS OF TOWER ANTENNAS FOR BROADCAST USE
by H. E. GIHRING AND G. H. BROWN
(RCA Victor Company, Inc., Camden, New Jersey)
MAGNETIC FLUX DENSITY MEASUREMENTS WITH A LOOP ANTENNA
The ordinary field intensity measuring set makes use of a loop antenna. This device inherently measures the magnetic flux density of a radiated field, and really yields the electric intensity by virtue of the fact that at remote points from the source of radiation the magnitudes of the electric vector and the magnetic flux density vector are related in a constant ratio.