Important thing here is, you're not a customer.
> Are there other, more privacy oriented transcription services anyone can recommend?
Probably not, since this is probably a bug that can affect any of these applications. And privacy focused apps are a niche and a niche that isn't that much fun to develop. The nature of these apps lean towards people who aren't privacy focused since you would be allowing a third party to listen to calls which is the opposite of privacy. You don't need a more privacy focused app, you just need another app and probably to become a customer so you can get the support you clearly want.