I have ADHD and ASD. I went through 5 years of neurofeedback for ADHD, including both focus and Alpha-Theta training. I've been meditating without the muse for nearly 8 years and found some improvement. 6 months ago i started using the Muse and i have found even more improvement with regard to calm focus. The Muse provided these improvements in a more gentle but sufficiently persistent manner once i got past 20 minute meditation sessions.
Specifically with regard to ASD, the Muse has helped me overcome my anxiety levels to the point where i'm surprised because i hadn't realized until now just how anxious i was. More importantly i see this as a positive improvement to my life in that my ASD "gifts" remain and i've improved my ability to socialize significantly over the past six months thanks to the Muse. But, this does take persistence. I meditate every day - its a lot like physical exercise in that if you stop doing it, you don't get any benefits and you may go backwards over time.
I'm now up to an hour of meditating with the Muse, however, i've found that i've had to break that into 4 sessions of 15 minutes each with a break of 20-30 minutes between the first 30 minutes of meditation and the last. If i don't break it apart i am so tired during the last two 15 minute sessions that it's a waste of time. I think the break is required because i'm not on a Dopamine Reuptake Inhibitor so my brain needs time to "recharge" my Dopamine levels. So during the break i do something other than meditation, like reading a book, exercise, etc. I am very surprised and very happy with the results i've gotten with the Muse and so are the friends who stuck it out with me.