I think the suggestion was a separate but tethered unmanned platform, which would presumably have less vibrations. I would imagine it's just not cost-efficient for SpaceX, as they'll be able to recover the footage later regardless.

Who needs a tether? Ubiquiti makes gear capable of slinging 400+ Mbps over 25km in a straight line. For about $1500 they should be able to shove the "last mile" to a ship outside of the exclusion zone and put the sat uplink on the ship.

https://www.ubnt.com/airmax/powerbeam-ac-iso/

If you're losing connection due to a shaking radio dish, as in the original case, a different shaking radio dish is hardly a compelling solution.

They have grid antennas with a slightly wider beam, or maybe a sector style with 20-30 degrees could be used. I just think it's easier to engineer a workable ship-to-ship stabilized radio solution rather than deal with the ship-to-sat dish which probably has much tighter tolerances.