There are a couple of downsides to using the existing permanent feed to the towing connector, IMHO:
1) I believe it was actually provided to power the trailer lights through a relay module in the OEM towing kit rather than for charging batteries, running fridges, etc.
2) The fuse is shared with other devices (e.g. seat & mirror adjustment on the same fuse and many other things on the same fusible link) on some cars, meaning if you blew the fuse it would cause a nuisance by disabling items in the car, and the extra loads might cause a bit more voltage drop, exacerbating the situation when charging batteries.
3) Whilst it's fused at 30A, it's 2.5mm
2 wire. I wouldn't trust it at over 20A continuous current. Although, if a serious fault occurred, I'm sure the short term overload would blow a 30A fuse I'm not sure I'd say the same about a long term mild overloading of that wire. Load it to 29.5A for long periods of time, and my bet is that the wire would melt. In any case, the voltage drop would be higher than you'd want.
If you're going to use a voltage sensing relay, you need the bare minimum of voltage drop between it and the vehicle supply to prevent it dropping out erroneously. Best off to mount it up the front end of the car (but then you've got to run a dedicated wire down to the back end).