I think I get your point. It's cruel to require Kafkaesque testing and that just makes it not worth it try. But too simple of a test can also misdiagnose.
The chance to be diagnosed with an appropriate gate varies greatly based on where you live and which doctor you can see and more. It can be anything from a 5 minute conversation, to 6 months of inconvenience, to no chance of even existing in your lifetime, to suck it up and don't ask because your career will end.
Right let me be very explicit: TOVA or equivalent are basically "play video games for 10 minutes as a part of your diagnosis" like the OP, the kafkaesque part is getting the appointment, and getting them administered, getting the diagnosis confirmed, going through the records and getting the prescriptions, everything around it :) they're actually pretty sophisticated tests, despite their palatability - I think if they had better ones they'd obviously use them.
"Sorry the psych is no longer available today. your appointment has been moved to the next available booking in 9 months time"
Or even better, "We have one available psychologist and they kinda don't believe in ADHD, so they'll see you but not actually grade the test correctly, so you'll have to try again, and as a bonus get labeled medication seeking". Not my experience, but...