Ive got a cheap copy of the above single wheel trailer, it doesn’t affect handling much, like panniers do, fits down trails without too much worry and is actually pretty good off road.
The parts that attach to the really long we skewer were poorly made and it would lean from side to side because of the slack. I cut them off and welded rose joints on, can hardly tell it’s there.
I also use a two wheel trailer on my cargo bike which is 6ft long for picking up big stuff and that does affect handling (probably the weight more than anything) but is super useful along with being hilariously ridiculous.