Spending categories - flawed

I have a friend who was trying to put government spending into ideological buckets. Like "healthcare spending is socialism", "tech sector investment spending is capitalism".

In my strong opinion, the premise of this exercise is flawed. Capitalism is control of the means of production granted to capital.
What connection between "government spends money on technological advancement" and "capitalism" do you see?
I don't really understand why he thinks government spending fits into the ideological baskets of "socialism" and "capitalism". In the United States, the government is tasked with protecting the private property rights of US capitalists, so US military spending is a capitalist expenditure, road maintenance is a capitalist expenditure, education spending, tech investment are capitalist expenditures, healthcare, such as it is, is a capitalist expenditure. Even the depression-era so-called "socialist" policies of FDR and the founding of the NLRB were in aid of preserving labor peace and the power of capital.
And when Cuba, post-revolution, invested in tech, education, and healthcare, those investments were in aid of preserving the power of workers outside of capitalism, and were therefore not capitalist expenditures even if they were nominally expenses for the same kinds of things. (I'm not claiming Cuba was a communist state, just that it wasn't a capitalist state)
And when fascist nations spent money on those things, it was in aid of preserving fascist power. Which things get funded might be impacted by the ideology of the state apparatus, but the spending itself is, unless the people in power aren't really in power, in aid of preserving the status quo of power.