Well i'd say the do a lot more than 'nudge' but it's not far off my position so sure. Of course - gov'ts CAN 'control' the economy to whatever degree they want, and many do, we just don't do that here as completely. So the amount of control (or influence if you prefer) is a decision and does vary over time.
Trudeau is on the high end. Seriously - repressing the energy industry, the carbon tax, the spending, the regulation - it's hard to catagorize that as mere 'influence'. That's a pretty major direct affect on the economy, that is exerting a fair bit of control some would argue ,