Well, as evidenced by various howls of outrage above, the danger does depend on the quality of construction either way.
But if one actually visits tornado sites, whether in person or, say, by drone, online, whatever is in “trailer parks” as of this decade definitely fares worse than houses in “conventional” neighborhoods. My wife and I took food to friends in Mayfield, KY, a few days after the December 2021 low end F4 tornado, and looped all around the town outside of the downtown business district, which was closed off. SOME homes directly in the path were completely destroyed, but usually one could tell, more or less, what had been there. Many still had at least some interior walls upright or leaning (very common). Brick-veneer homes tended to do better than not.* Manufactured and “trailer” homes were generally just piles of rubble, and often said rubble (pretty much everything but the foundation or slab) was mostly or completely removed from the foundation.
*The problem with brick and / or masonry is that if a wall does come down on you, you’re in big trouble. But, the interior portions of most of the brick homes still had “survivable” interior spaces. I was in a brick veneer home in an F3 as a 10 y/o, the home built around 1956. It lost much of the roof, and exterior walls were from warped / cracked to fallen inward, but, not through the floor into the partial basement where we were sheltered. The north end of the house looked “best”, but even there, the joints to the concrete basement walls / foundation were pulled over halfway loose.
*I conclude the weight of the brick helped keep the entire house above ground level from going airborne**, so, such mass CAN be helpful — there were survivable spaces in the interior hallway that ran much the length of the house. If the whole house does a “Dorothy”, the outlook isn’t good, regardless of how strong the walls are. OTOH, in the infamous “Candle Factory” in Mayfield, KY, a cement block wall collapsed on people. :-(
**In that F3 tornado, a neighbor had a very well built (”stick” construction) non-attached 2-car garage on a slab beside their (very nice) largish house. The house suffered moderate damage (still livable post-storm), but the garage got picked up as a unit and dumped into a pond in back of the house. In times when the water got a bit low and clear, from the right angle you could see the top of the roof, intact as far as could be seen, just below the surface.
My conclusion would be that a modern manufactured home VERY well attached to the foundation (say, heavy foundation bolts every 18” or so, to a real foundation or slab) might be survivable in a low end F3, but would not be salvageable. Any metal roof on any type structure would need likely 3x screws around all edges, to have a chance...
Actually, a few spots in the Mayfield tornado did get up to 188 mph, according to the NWS, so those spots got a very solid revised Fujita scale F4. Mostly right in the center of town....