Earlier quoted context omitted.
AFAIK the writes and reads are done only from the same process, so the long term storage will apply only if the current process is hibernated. When you write something and then read it, it's immediate, because the writes and reads are also updating the current process's state in memory. For another process (e.g. another DO or another worker) to access the data, they need to go through the DO which "contains" the data…
You're right that reads and writes are immediate in the same client connection, this is how it works with CF KV as well - but not across the entire network. On KV they expect up to 30 second latency before a write can be written everywhere, I expect similar here.
There’s no such thing as the read after wrote problem because only one host will ever do reads and writes (until that host dies).