Hi Vance,
This is a prestigious 4-year project, jointly run by Exeter University and the UK National Archives and funded by the Leverhulme Trust.
Yes, a database of free-to-access completed transcriptions will be available online at the end of the project. This is, of course, not the entire collection of PCC wills held at TNA, but a sample of 25,000, drawn from the period 1540-1790.
The project team and some so-called 'expert' volunteers have been training the HTR model over the last 8 months, prior to the launch earlier this week of the Zooniverse phase. The HTR model is still learning.
Training the HTR model is not in itself the project's objective - it's a means to an end. There is a lot of background information on the Project Website 'The Material Culture of Wills, England, 1540-1790', with a regular blog, and contact details for the project team, if you want them.
https://sites.exeter.ac.uk/materialcultureofwills/about/