This method seems okay and does mimic the lith effect.
One of the beautiful factors of lith is the actual paper it is printed on and its silver content.
Clients of mine spend many days in the darkroom with me to create imagery and then scan the prints we do and use inkjets for their portfolio and handout.
The comment about speed in this article is a bit off base.
When printing lith in a wet darkroom we can change pull times, change main exposure change flash,tissue effects, softfocus effects, pull focus effects , change paper types all within minutes of each other and walk out of the printing session with many , many looks on any paticular image.
Toning adds a endless supply of different looks on top of all the above changes.
* I keep on thinking about Walt Disnesys animation and his story about Paul Bunyon. I don't know if anyone else here remembers the movie, but as a child I remember crying when Paul lost the tree cutting race to the guy with the automated chainsaw*
Well for Pauls sake >I am here to say I challange any one with a computer and inkjet machine to try to make more interesting looks on a set of negatives. *Time Line will be four hours*, I will work in a wet darkroom and the challanger will work in PS with inkjet.
We will make lith prints and post the resulting images.
I know I am being silly , but this is one area where I know that printing under and enlarger is much more creative and time sensible.