It's not that simple, those point-to-point links are done with both highly directional antennae at both ends. You'd need to deal with Doppler (the satellite is moving pretty quickly, and likely in a relatively complex path relative to the transmitter), attenuation because of rainfall and other atmospheric effects, polarization, non-directional transmitter antenna and the effect of likely having 1000's of transmitters of roughly the same kind in the footprint of the satellite antenna.
It isn't impossible, but 'Yep' is a bit of a shortcut, and if they pull this off it would be quite the technological feat.
It also would mean that if this is possible that you wouldn't need anything special to implement SpaceX's vision of ubiquitous internet using LEO satellites, the antenna tech for that is quite exotic and requires a roof mounted structure, something that almost no WiFi transmitter has.
So those WiFi distance records are not at all on the same level as picking up a single WiFi signal from space, the one requires cooperation on both sides, the other has to do everything on one end (but obviously with a larger budget and some really clever people behind it). If you've ever done such a long haul WiFi link then you'll know how hard it is to line up the dishes and how easy it is to lose the connection due to wind, vibration or water in the atmosphere.