You're right that that's incorrect as a matter of law... but, as a practical matter seen as a feature of the landscape, in context, and not just in this case, it seems that things do generally tend to work out that way, with lawyers tending to arrange their work in ways that have them not getting things done until they reach deadlines...
I'm sure that probably has nothing at all to do with the structure of the arrangements that are typical in how lawyers get paid ? Nah. Couldn't be that...