I have waited a while to reply here, because I am super triggered around this topic, but I am one of the clients that a lot would view as "taking advantage" of electronic contact. In my case, my T has specifically encouraged me to reach out via text consistently. He likes knowing where I'm at between sessions and being able to reassure me when I'm scared about losing or ruining the connection. After bringing in some print outs early on in our work (like third session?), he expressed interest in seeing my journaling on a regular basis. So, I share all my therapy-related journals with him, and they can get quite long. He always praises them as "great" and "insightful" and "so helpful" to our work together. In both of these contexts, it is well-known that I cannot expect a reply. In the case of texting, if I ask for a reply, I will get one eventually, usually within hours, never longer than a day (unless it is regarding scheduling that he doesn't have information on yet). For emails, he does not reply at all. He reads and notates my journals and we use them as a jumping off point for sessions. When I haven't been journaling in a while, T actually reminds and encourages me to do so, especially if he thinks there might be a lot getting stirred up.
I have expressed to T several times that I can stop sending the journals and the texts. I have told him in nearly every single email that I have no expectation of him reading it within any time frame or ever, but do appreciate that he finds them important. I have panicked to him over and over about the sheer amount of time, energy and care he is investing in our work. He simply continues to reassure me that he views all of that positively, it is never a burden, he seems the amount I am receiving as necessary and justified considering what we are working on, it is something he feels enabled to do. I know that this period of intense need will pass in time (and probably more quickly if I stop battling myself to hold back and protect him all the time). I still feel like I'm taking advantage, but objectively, I know my T feels positively about it, because he tells me all the time, even when I am not expressing any reservations. I don't think it is something that he could do with every single client, but I do think it is something he would offer to anyone he saw in need.
Anyway, I think as long as a T is clear about their boundaries and doesn't let the client have unreasonable expectations, it's a fine medium to work with.