And the internals of the combi are more complicated
Rubbish.
A modern heat only boiler has one heat exchanger, (*) a variable speed fan, a modulating gas valve and a few sensors to ensure the unit is burning gas in a safe and efficient way and that nothing is overheating. Pump over run control is also provided for the pump which can be fitted remote from the boiler.
(*) the single heat exchange may of course be a two pass one with a condensing section in the flue gas and the main section in the combustion area.
A combi has all those and quite a lot more all packed into it.
For a start in the combi there are two heat exchangers and a divertor valve of some sort to determine whether the heat goes to hot water or to central heating loop.
Then there is a flow switch to detect when hot water is required to fire up the boiler when a hot tap is turned on.
For some reason the circulating pump is almost always built into the boiler, probably necessary to pump the circulating hot water from the gas to water heat exchanger through the water to water heat exchanger that is needed to heat the domestic hot water.
Then there are pressure relief valves and expansion vessels and again these are often packed into the case of the combi boiler.