Hi Bob. First of all, congratulations on that new LC!
I've towed pretty extensively with my LX570, and a can say that it's absolutely a great tow vehicle and will handle that FC25 just fine. Just this past weekend, I was towing in some pretty extreme santa anna winds with gusts exceeding 45mph. Yes, I could feel the wind, as would any car let alone towing, but she was very stable.
Critical things are a good weight distribution hitch, and perhaps load E tires. I've had very good experiences with my Equilizer hitch with 1000lb bars. The LC differs a bit from my LX, in that it has standard coil suspension. Some have found airbags installed in the rear, along with good weight distribution tension to help greatly.
Here's some links that may further help your planning:
https://forum.ih8mud.com/threads/lx5...#post-11154611
https://forum.ih8mud.com/threads/tow...#post-10406612
Regards,
-Paul