So if it's, say 80% efficient that's 200W. Add the 200W from the rider and you have 400W so yeah that'd destroy me but I don't think a pro would be much troubled.
Strava does power reading 'estimates', here are figures for me up a 6% average incline, you can see which ride is on an eBike - 250watts poweroutput on the motor

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What's interesting is when you look at the power meter figures my eBike reports. I haven't done a proper FTP but its going to be around 200watts, firmly in the 'amateur' region. This is a segment on my eBike along a flatish route, despite putting out 250watts+ of unassited power my speed is much slower than on my road bike purely down to aero + drivetrain loss of cheap
Halfords frameset (eBike) versus 105/Ultegra + Trek carbon frame.
So an eBike pushing out 250watts with zero human power, in a flat bar hybrid frameset will be 4mph+ slower (20% slower) than an unassisted rider doing the same power but on a road bike on the flat.
This isn't however most eBikes are used, mine is used to get me to work without sweating like a pig. This is the power figures of my eBike assisted commute into work, you can see the speed is bang on the 15.5mph cut off, the actual total power output with me pedaling + motor is sub 200watts. So to travel at a legal 15.5mph assisted speed 250watts of motor power alone is more than enough.
The power graph suggests I was probably doing proper 'work' interms of adding significant amount of power from my legs for less than 30 seconds out of a 20 minute+ commute.
For my commute into work I arrive with barely raised heart rate, which is perfect for commuting.
But there is no denying 200watts+ of extra power when COMBINED with your legs does crazy things when the road rises - this time gets me into the top 5 of the Strava segment if I didn't mark the ride as electric assisted.
Am almost 1 mintue quicker up a 8% gradient (14% max ramp) which normally takes me just under 3 minutes on my eBike.
If you removed the speed limit on these eBikes, put in the effort on a decent frameset, even without 1000watt motors they absolutely can turn amateurs with FTPs sub 400watts into Tour winners (and by a massive margin).
View: https://youtu.be/cjcsla7U6GM
If you want to be lazy and sit at 15.5mph with no effort any legal eBike is fine with 250watt output.
If you want to go fast everywhere on an eBike you need to put the effort in (or go illegal).
Lazy or not, any eBike will make hills much easier, which is what puts lots of people off cycling in the first place.