Mechanical stress likes to "flow" smoothly and simply in wide sweeping arcs through metal.
It's why we like to use (must use!) fillets rather than sharp corners on machined parts, use rounded holes in beams rather than rough-cut square access holes topass wires and pipes, why tank heads are elliptical or rounded in high pressure tanks and vessels, why pipes are round and why tube steel has round edges, and why structral steel has internal fillets where the web meets the flanges.
An ugly, rough weld IS a stress riser, and thus increases the local stresses near the weld from the load. An ugly weld frequently reflects the "care" and "effort" by the welder - who obviuosly has either not been trained to present a professional appreanace, or has not been given the time and material and tools to do a professinal job => Thus, an ugly weld will likely have internal flaws (inclusions or old cracks not removed, heat affected zones where the metal properties have gone bad by too much heat applied too rapidly, and even cold zones where no fusion might have occurred) that themselves create new stress risers.
Besides, an ugly weld offends my highly cultivated sensitivities and delicate nature. 8<)
Seriously, your instincts ARE telling you something - If you "feel" something is wrong with a weld or a weld process or a design or a beam or a load under your crane, you ARE almost certainly "right" even if you can't specifically put your finger on the exact cause of your uneasiness. An elegant design is characteristic of a well-developed, economic, high quality, easily-produced solution to a specific problem with a specific material at a specific time. Nobody would build the Eiffel Tower today with rivets and iron, but it still "looks" like a beautiful work of design brilliance despite the material used.
In this case, an ugly weld is advertising itself as an ugly "solution" hiding very severe future problems.