I'm carrying 170 lb me and up to 80 lb supplies on the step through frame left. I bought that one because it is special for short people. My pants inseam should be 28". It is a yubabikes.com .
No wobbles. This is not a racer, weighed 63 lb as delivered and rides about 75 now with full set of tools, tubes, bags, battery, motor.
Other stretch cargo bikes, xtracycle, surlybikes (steel frames high capacity), pedego stretch, radwagon, blix packa, the original kona ute, tern GSD (20" wheels) . these put the rider's weight on the front wheel and leave more of the rear tire for the cargo. Many have special features to interface with certain brands of child seat. Mine has spoke shields standard to keep the child's fingers from being pinched. Look into the double leg frame, makes loading much easier.
See this topic about cargo bikes, which usually have a weight rating.
https://electricbikereview.com/forums/forum/cargo/
I've converted my pedal bike with a front drive geared hubmotor $221 and $620 for a 17.5 ah battery that doesn't have a patented shape or connector. So I can buy any generic battery in 4-6 years when this one wears out. Likewise if the motor craters, a new one is about $250 with drive, throttle, PAS, brake handles.
The yuba was perfect when I got it, needed no spoke torque checking monthly that rad specifies, and I got 5000 miles out of the 8 speed chain since the motor doesn't drive through it. Sprokets no wear yet. The front drive is not a problem, plenty of traction. I don't ride on black ice. I do ride year round, don't run a car anymore. do all my shopping off the bike.
See you are in Germany. Reise & mueller sells an expensive & respected cargo model both in Europe & the US. Bosch mid drive wears out chains more like 1000 miles, and pedals without power like dragging an anchor. I've ridden mine home 25 miles unpowered when a heavy rain disabled the throttle. I ride unpowered 90% of the time, reserving motor for headwinds >12 mph, trips over 25 miles, and crossing 6 lane streets on 6 second green lights with the throttle to the max.