The test added by 595b9cba forgot that on Windows it is necessary to set
up pg_hba.conf (see PostgresNode::set_replication_conf) with a specific
entry or base backups fail.  Any node that requires to support
replication just needs to pass down allows_streaming at initialization.
This updates the test to do so.  Simplify things a bit while on it.

Per buildfarm member fairywren.  Any Windows hosts running this test
would have failed, and I have reproduced the problem as well.

Backpatch-through: 10