Driver input causes sudden acceleration. Having access to more power is not an inherently dangerous thing. Poor driving ability is a dangerous thing - though I agree that more power can compound that danger.
I drive a 480bhp 1800kg car. It takes active involvement from me in multiple steps to "take off" or 'suddenly' accelerate, and when it does so, the whole car is configured to _increase_ its stability as its speed increases.
That said, if I were to aggressively accelerate when the road conditions are in excess of what the stability aids (and my fallible human skillset) can counter - which from experience is a high bar for modern DSC (oil, ice) - then I would crash and power would be a contributory factor. But from experience I can say that a small front wheel drive car will have 'let go' far sooner under those same conditions.
High-powered cars, by virtue of their expense, tend to have more comprehensive and capable driver assistance features both tech and mech (you're not going to find a limited slip differential on a budget super mini car)
Under-powered cars have trouble effectively matching carriageway and motorway speed in the short slip roads that are common in the UK. A 1 litre, >80bhp car is fine for city/town and village driving. It is not an appropriate vehicle for motorway or NSL carriageway driving. Anything that has no ability to out-accelerate a HGV maintaining cruise speed to join a motorway has no business being on the motorway.
That’s exactly what he meant.
Sudden acceleration is a contributing factor in many vehicle crashes.