If you can manage your attention/motivation well enough to make detailed to do lists, why can't that be applied to the urgent task at hand, to completion.
If you do the ADHD questionnaire one of the major indicators is how many projects are 99% complete.
A TODO list just catalogues these 99% complete problems until they become cognitively crushing to think about resulting in a need to escape/avoid the list, resulting in eventual burnout.
> time until a deadline
This is stress based motivation, and stress tolerance is a depletable resource that once depleted results in devastation.
I am suspicious of anything mental health that doesn't market itself as evidence based. Do you have any evidential basis behind the TODO app? Are any of your ideas evidence informed?
Why not read through several ADHD help/workbooks or read through treatment protocols and try to app-ify them?