The described sequence will, in a general way, minimize the thermal-mechanical transient loads on the turbine (and possibly the heaters and other piping components as well).
Looking at the start-up as an example, as the load is increased, and the heaters are "charged" from the bottom up, this will GRADUALLY increase the amount of steam that is extracted from the turbine, and ensure that at low loads there is always enough steam flowing to the last stage blades to prevent overheating of the last stage - blades and casing.
[ At low loads, and hence low flows, the tallest turbine stages are not doing any useful work because the entire pressure drop has occurred upstream. In fact the tall blades are acting parasitically and dissipating some of the shaft work back into the LP steam as heat. There must be enough steam flow at low loads to carry away the excess heat. ]
Charging the top heater(s) first, for example, could divert a large portion of the relatively small steam flow from the HP turbine to the top heaters fed with very cold feedwater. The large LP blades would overheat the exhaust casing. The thermal stresses induced in the top heaters might also become excessive if they are loaded first.
The deaerator would also not yet be operational, and could cause problems in the top heaters and the boiler drum.