The use of the word "reflex" with a camera, appears in essentially two types.
Single Lens Reflex and Twin Lens Reflex
(Since DSLR is simply a SLR with an analog sensor/digital coverter assembly, I will only herein refer to SLR).
Note, that in both of the above, the differentiation is as to the number of lenses.
SLR a single lense w/ a "Reflex", with a moving mirror and a housing of more mirrors, or a prism, for viewing through the single lense.
TLR twin lenses, w/ a "Reflex" , comprised of one mirror, for viewing through one of the lenses.
An EVF has neither a mirror (moving nor stationary), nor a secondary prism or mirror housing.
Viewing through a lense does not a "reflex" camera make, otherwise a view camera would be a "reflex" camera.
It appears a Reflex camera refers to the image being reflected to the eye, not viewed "directly".
I would suggest, that a camera that does not use a mirror or prism to reflect the image to the viewer, is not a "reflex" camera.