So I’m going to fundamentally disagree with removing “web series” as a branding, partially because I’m biased but partially because I think the term is making a comeback as far as filmmaking styles are concerned. As more and more web series get adapted for TV and more and more web series creators get picked to move up in the mainstream world, it stops being associated with negative implications and starts being a legitimate format to work in. (maybe I’m misunderstanding your cautioning of the phrase “web series” though- correct me if I’m mistaken!)
However, I would agree with the idea that you don’t necesarilly need to use “web series” or even “the series” in all your key art- it seems unnecessary. Just brand it with “Rebecca Gold- Coming Soon” or add the release date, and make sure there’s always a website or social media handle on your art. “Rebecca Gold Web Series” doesn’t tell me anything and doesn’t prompt me as a viewer to interact any further with the project if I’m interested in it. If there was a website or social handle, and I liked your key art, I’d know where to go next for more info.
As far as title cards/ previously on, I’d recommend keeping those to end cards instead so it doesn’t trip up the viewing experience (plus YouTube doesn’t support annotations anymore so you can only add in-video links to the last 20 seconds of your videos now). It’s honestly up to you how much info you want to prompt people with in those, but having an end card with links to the previous and next episodes is a solid choice if you want people to continue watching!
I actually touch on end cards a little bit in this article: Finding Distribution For Your Web Series- I Hate Marketing part 9
If you want me to go into more detail, @Ian_David_Diaz, I can totally do that!