The Raptor is a fantastic tow vehicle. Built in trailer brakes, long wheel base and big brakes along with a very legitimate tow mode. I've towed a 16' stock trailer with cattle and it had no problem towing or stopping. It will, however, squat with stock springs. I upgraded the rear coils and lost any squat.
I live in the epicenter of FS and BLM roads. Your typical FS road is the Raptor's sweet spot. It'll happily absorb giant potholes, washboards or shale and feel like you're on a runway. I've gone 90mph on a BLM road and never felt vaguely out of control. Mining roads, unmaintained or overgrown spurs can definitely prove to be too narrow and I'd give the LC a slight advantage on snow, largely because it's AWD, though the Raptor has proven to be excellent.
The Raptor is, however, a much better daily driver...roomier, quicker, intuitive interior, better ride, selectable suspension, airplay/android auto, better seats, much more cargo (especially with a topper), more interior storage, far superior HVAC, built in aux switches, more power outlets, etc etc. Road trips aren't even close with the difference in room, ride and power, not to mention a 600 mile range They are a blast to drive on the highway. If I lived in a city, I'm sure it would be a bear to park but fortunately, I do not.
Absolutely NO argument on quality or toughness...the 200 will outlive two Raptors. I only have 30k on my Raptor and have had zero issues but I'm confident it'll start having issues before 150k. And the LC is a much more capable trail rig to be sure. It's more narrow, has a better traction control and has slightly better visibility, though I'd argue the 200 lost a bit in that category with its round snout. Obviously the Raptor has a terrible rear departure angle. The LC has decades of off-road experience and purpose built engineering along with Japanese quality...trails are no contest.
But...the Raptor is a very modern, well engineered truck. Up until the 300, we all know that the tech on the LC hadn't changed significantly since the 100 series exited the scene. We have to mod the hell out of them just to get Apple Play, trailer brakes and a rear locker--all standard on the Ford. I know Raptor's are often driven by Mountain Dew chugging goons who love their giant Let's Go Brandon stickers and probably have tiny wangs, but make no mistake--they are very impressive trucks if you can get past the branding.
All of this to say, this is why I choose to be optimistic about the new 250. If it can handle moderate trails while boasting more HP, better MPG and range with an updated interior, all without the luxury stuff I don't want in a trail rig? Then it has my attention and hope!