Air may be left in the piping after initial system fill, but the installing contractor typically purges that from the high points in the system. However, dissolved air is carried into the piping system anytime fresh water from the municipality is introduced, such as during initial fill, leaks, or routine maintenance. This is why in closed loop hydronic HVAC systems, air must be properly purged from the piping during initial system fill and during operation.
Free air may be vented out of the high points in the piping system, but dissolved air must be separated from the water by an air separator device. While there may be debate on the merits of inline or tangential air separator configurations, ALL air separators accomplish their tasks by filling the following requirements:
Meet these requirements, and the dissolved air will separate from the water where it may be vented (air separation system) or directed to a plain steel expansion tank (air control system).
If air separation effectiveness is important for your application, work with your manufacturer's representative to determine what equipment you need.