If the lift arms do not extend past the edge of the baseplate and you do not use up limit straps to hold the vehicle down it is Physically impossible to tip the whole thing over.
That does not mean you couldn't knock the truck off the lift just like you could on a normal lift.
Assuming you load the lift with the truck CG nearly in the middle like you should with the arms as wide as they can get the heavier vehicle has the potential to be more stable on the lift
Let's say the lift trailer is 2500lbs and it's CG is centered on the baseplate (51" from the edge). A F350 CCLB DRW is 8500lbs and ~60/40 F/R. It's 266" long. Assuming it's CG is within say 24" of the center of the lift (51-24=27" from edge), and dumb mechanic has stepped on open tailgate to climb into the truck held up by the lift (60% of 266"+~15" for tailgate from truck CG, which is 27" inboard of the baseplate so mechanic is 159+15-27=132" from the edge of the plate). How heavy would dumb mechanic (DM) have to be to cause mayhem assuming the truck is welded to the lift? We sum the moments about the edge of the baseplate.
51"×2500+27"x8500-132"xDM=0
DM=2704lbs to get the whole thing to tip.
Even ignoring the weight of the lift trailer it is still a large amount of weight you need to tip the whole thing, it just becomes equal to what it takes to tip the truck off.
Assuming the lift arms are at 8.5' wide the truck will tip off at DM>1738lbs.
Repeating for a Miata at 154" OAL, same CG location of 27" from baseplate edge.
51"x2500+27"x2500-26"xDM=0
DM=7500lbs to tip it.
Practically it would likely be impossible to get a Miata lift arms at the edge of the baseplate and more typically they would be ~48" apart which would mean a Miata could likely be tipped off the lift with a relatively low DM weight. Miata is 50/50 so CG is in the middle of the lift arms 24" from the pads, but our lever arm is 77-24=53" to the bumper. If you have the CG offset much at all the weights required to tip the Miata start to get fairly small, around 1100lbs with a centered CG. If the CG is offset 20" the load can be as low as 200lbs to tip the car off. 200
In fact the smaller the car the more critical weight balance and CG location on a lift gets.
Looking up some dimensions for typical lift arms it looks like you could get close to having the lift arms at the edge of the pad. So if you loaded a car with it's CG exactly on one pad, fully extended, it still wouldn't tip because the cg of the lift is inside the base and wouldnt tip, but the car would fall off real easy.
TLDR assuming the baseplate is well designed and attached to the columns with the same fastener strength as a concrete mounted lift I would be no more hesitant to get under that with a F250 on it than a normal floor mounted 2 post. It is physically impossible for it to tip over unless the baseplate is to weak for the application.