What you describe is the financing constraint, but the economic constraint is still there.
Money is a claim to draw from the economy's output, to exchange it for goods and services.
By printing money, the claims increase while the goods and services stay the same. This is similar to how when many people want to buy something, it causes the prices to go up, but it happens to the whole economy, meaning inflation.
Central bank independence exists to limit the abuse of this mechanism, to keep it away from politicians, who might be tempted to use it before the next election cycle, but not necessarily because the economists know better.
In any case, printing money still causes inflation and is a hidden tax on anyone holding money, regardless of who does it.
What you describe is the financing constraint, but the economic constraint is still there.
Money is a claim to draw from the economy's output, to exchange it for goods and services.
By printing money, the claims increase while the goods and services stay the same. This is similar to how when many people want to buy something, it causes the prices to go up, but it happens to the whole economy, meaning inflation.
Central bank independence exists to limit the abuse of this mechanism, to keep it away from politicians, who might be tempted to use it before the next election cycle, but not necessarily because the economists know better.
In any case, printing money still causes inflation and is a hidden tax on anyone holding money, regardless of who does it.