Freud and his brethren are viewed by American's as fusty, fussy, and firmly affixed in some Victorian vestry. But shake off your cobwebs. Freud (and the others) were the first to own automobiles, the first to install telephones. They routinely used public transit. Freud travelled everywhere on 3rd class trainseats. Freud did not like music or movies, but his followers did go to musicals, plays, movies, etc. Freud's patients were occasional guests at his dinner table. Boundaries were porous and certainly not to American's taste. But Freud thought Americans meshuganah, although he was happy to take their money.
So given that psychoanalysis used the technology of their day, what would they have thought about telehealth (TH). At first, I imagine they would embrace it. Don't forget--after WWI, patients came to Vienna and Budapest to engage in psychoanalysis with the masters. Typically, American's stayed six months and then returned home. Sometimes, the European's came to America and travelled a circuit between NY, Chicago, Philadelphia, and Washington, DC. Presumably, they offered refresher sessions to patients or took on patients for consultations.
So I imagine at first, TH would be a godsend. A way not only of making money, but of ensuring continuity with patients.
But, I doubt they would embrace it as a long-term solution.
"Psychoanalysis needs to be conducted in a state of abstinence." With TH, no one knows if you're a dog, let alone drinking/drugging, masturbating, doing laundry, nursing your infants, (fill in the blank). Additionally, psychoanalysis was conducted four times a week then. The emotionality of sessions is diluted under TH. When it gets too intense, patients have the freedom to get up from the couch, and, even log off. The ability to keep patients safe is attenuated.
All this being said, Freud's patients went on vacation with him. He saw patients during vacation. So, I imagine TH would be an occasional, infrequent tool in the armory of psychoanalysts then. As it should be now.