no, some Thai Embassy will accept your application and send to MFA in Bangkok for approval. The time frame is about 3-4 weeks processing time. As every Embassy decide themselves which country they serve or refuse it make sense to them. For us it does not make sense but for them it does.
Best is to call Bali Consular directly, I would assume that an ED is possible, but can not confirm. Tourist is possible or just a visa waiver when she come back. But multiple tourist visa is not possible in Bali.