KD, I’ve never owned a toy hauler, but from what I know about the physics of trailer length, tongue weight, axle placement, load placement from hauling many other kinds of trailers, I’d say you’re partly right that something as heavy as a trike will affect the handling some.
But first, TT toy haulers are designed tongue heavy when empty so there is tongue weight to balance against large loads aft of the axles. That’s good for tongue weight but with the distance the load is behind TT axles, that load will be inclined to accentuate wiggling side to side or even sway. (Literal tail wag the dog).
A 5ver will generally control this better due to its design, mainly hitch design and axle placement.
That said I’ve seen plenty of TT toyhaulers driving straight down the road so I’m sure it’s not prohibitive.
