If HSFO is high sulfur fuel oil, then the changes in density you are seeing are likely due to changes in composition.
Fuel oil is usually a mixture of various heavy streams and cutters blended together to meet several specifications (commonly min/max density, min/max viscosity, max sulfur, con carbon, etc). Depending what streams and their flow rates that are being used, the final product is not a 'pure' component like butane. It will vary in its properties.
It does not have any relation to the size or head pressure in the tank. Liquids do have some variation in density with pressure but you need very large pressure changes to see this, much more than what you are talking about here for head pressures.