Well if its recently deleted then the age is automatically zero, so no. However, you are registering a domain which has previously been registered, so there may be a chance of it being bought again (but this all depends on the name). Good luck.
A lot of new systems circumvent dropping process (which means they don't lose their age) in terms of value though, maybe some benefit of not losing rank/links while it goes through expiry process cuold be a benefit?
Past domain traffic history (if any) might be a good point. I would also do a bit of homework on the search engines, see how indexed the domain name is.