Flare is less related to the size of the front element than the angle of view, along with the specific lens construction and number of elements, as well as the nature of the coatings. Wide-angle lenses present the biggest problem because they're difficult to properly shade.
Modern manufacturers have done a remarkable job trying to improve lens transmission. But still, it's a much more difficult problem maintaining optimal transmission in something like a zoom lens with a considerable number of elements, versus something simple like a tessar formula lens which only has six air/glass interfaces. The highest performance lens I ever had for any camera in terms of contrast and hue purity was a multicoated Kern Dagor with only four air/glass interfaces; but that kind of lens is no longer made.
Yet another factor, particularly applicable to view cameras, is just how much surplus light gets taken in due to the larger than normal "image circle" in relation to internal "bellows flare". Once again, the effectiveness of the lens shade is key. And often people fit their view camera with a compendium shade, itself highly adjustable.