If we are being pedantic about it, yes, you are right in your thoughts and certainly that is what the EV manufacturers want you to think via their marketing.
But the reality is I guess you could say 95% of the "benefit" of regenerative braking is the braking side of things (and so therefore similar to the non-EV equivalent).
There is, without argument, the remaining 5% "benefit" of the generation of electricity. But certainly in my own experience of driving EVs for both long road-trips and short journeys is that the electricity generation is largely manufacturer hype. Why ? Because basic physics dictates that you're playing a net-net zero-sum game ... i.e. what you "generate" you then loose when you next stop at the lights and accelerate again, or when you next overtake a car on the highway or, or, or .... so in the end you might end up with perhaps a 5–10% net gain if you're lucky which isn't really all that much to sing and dance about.