Only quoting what Motability have said on their partners’ information website.
If your application is deemed to need Drive Smart from day one, you should be told at the point of application by your Dealer. OLA adds in a section to collect an email and phone number per driver; the latter of which is also checked by the phone app to ensure it’s installed on the right phone.
As I understand it after speaking with their resolutions team, their ‘fully completed last lease’ is to do with having a full term driving profile for the customer. Or that you showed on your last lease that you kept to your contract and kept their unexpected costs down.
It fits with the declared reasons why they may install Drive Smart in-life (aka mid-lease) as anything that causes the lease to have costs above those they budgeted for are potential candidates.