I totally disagree with the negative connotations of using "digital" but i see where you are coming from on the anonymous vs private front. If we were still called darkcoin then i would agree about moving away from anonymous.
That's ok, but I think in these things it's more important to decide on what a message is saying and to whom rather than what we intuitively "like" or not.
The problem I have with the word "digital" is its ambiguity. Everything in the modern commercial world is 'digital' so its meaning depends on the perspective of the reader.
I've suggested that if it's a merchant perspective, then "digital" means "credit money" as opposed to "cash money". That's simply the criteria they are interested in.
If it's a consumer - i.e. someone who wants to use it to purchase goods - then 'digital' is potentially synonymous with "virtual". i.e. "stay away - it's virtual, not real", whereas nothing could be further from the truth. Ambiguity always encourages people to assume the 'pessimistic case' rather than the optimistic if there's any value riding on it.
On the other hand 'cash' is what it actually is in monetary terms. An immediate payment. There's familiarity instead of ambiguity.
That's just my perspective obviously but every time I try to think it through another way I keep coming back to these conclusions.