Sure.

Ok, we could change it to "authorized". "authorization" is just a paypal namining. From the docs: 
authorization – The payment is pending because it has been authorized but not settled. You must capture the funds first. 
- So it is the case successfully authorized and ready to desposit.

I agree to be more precise in this. But for now the (successfully) "authorized" state ist the only one we need to get know of to provide separate approve and deposit process as implemented f.e. in paypal plugin. 

If another payment provider case needs more specific cases we have to extend than later.

Is this ok for you?

I would change the wording.