Does the passport affect the chances of getting a Digital Nomad Visa (DTV) for Thailand?

it doesn't matter which passport a DTV E–Visa Applicant uses (dual/multiple nationalities), but have to use the passport where you are physically located and submit a DTV E–Visa Application to whichever Thai Embassy/Consulate is located at or has jurisdiction over where you where physically located when submitting your DTV E–Visa Application.

So, the alternative response to your question is: it is more about which particular Thai Embassy/Consulate you submitted a DTV E–Visa Application than any particular passport (except for passport holder of certain countries where a month additional processing time is need for approval from the Thailand Ministry of Foreign Affairs before the Thai Embassy/Consulate can issue a Thai E–Visa for certain nationalities)

Where are you physically? Why did you apply there if not there?

You must be in the country you apply from and remain in that country until the process completes

oh boy Dubai very very very difficult i gat my DTV via the thai embassy in Dubai after 2 weeks and they ask alot of additional documents ( digital bank statements NOT eligible for DTV ) you need to go to the bank by your self and get a statement from the bank stamp in each page