I think that there might be a misunderstanding about the term caisson. I believe that snap is talking about drilled-in caissons, or bored piles, or drilled shafts - a lot of names have been applied to 500mm to 3m diameter drilled shafts throughout the literature. Belled caissons are typically used for end bearing although some advocate being able to use skin friction at a nominal height above the bell up the shaft. Tomlinson, I believe indicates that many now forgo bells for deeper straight shafts in light of difficulties in doing bells - vs the time expended for straight shafts. Remember that there is a marked difference in the strains to mobilize skin friction than end-bearing. I noted in another thread that a learned prof that I know suggests to plot movement/diameter vs load (non-dimensionalized) and the break in the curve is the adheasion to end-bearing handover (about 1 to 2%). So, the answer is yes, you can design mainly for adhesion but then, why would you want to provide a bell??
Ginger is correct in the concept of very large diameter caissons (say 6 to 9m or more. These, here in India, are also known as well foundations. India uses a lot of these for major bridges even though drilled shafts would be a much more efficient choice (given time). A well, some 40m deep might take as long as 4 months or more to sink from inception of cutting edge to sinking (steining in 2m lift thicknesses). With such sinking, always have to worry about uneven sinking. Anyone interested in some references, etc. regarding well foundations as used here in India, give a e-mail address and I will get back to you.
Best regards to all.