Let's say you're running a simple e-commerce site. You have some microservices, like, a payments microservice, a push notifications microservice, and a logging microservice.
So what are the dependencies. You might want to send a push notification to a seller when they get a new payment, or if there's a dispute or something. You might want to log that too. And you might want to log whenever any chargeback occurs.
Okay, but now it is no longer a "polytree". You have a "triangle" of dependencies. Payment -> Push, Push -> Logs, Payment -> Logs.
These all just seem really basic, natural examples though. I don't even like microservices, but they make sense when you're essentially just wrapping an external API like push notifications or payments, or a single-purpose datastore like you often have for logging. Is it really a problem if a whole bunch of things depend on your logging microservice? That seems fine to me.