So we can continue to have fewer flu deaths, surely.
Correct. It not only reduces the risk of becoming personally infected (and dying of complications), or if infected it reduces the severity of the consequences, but it also increases group immunity, which reduces the spread of the virus.
On the subject of deaths, attached is the official weekly statistics for the Netherlands about
ALL deaths per week (the last week may still change a bit when new reports come in), as reported by the Central Bureau of Statistics (CBS).
In the winter months, there is a normal increase due to influenza, with an exceptionally severe year 2018. The COVID-19 effect is clearly visible, both in timing and quantity.