I have seen in closely supported micropiles (not just secant piles) designs going from the weak cap beams to the quite rigid. Continuous-alike and quite rigid support may account for the weak cap beam cases, whereas the rigid designs should be based in some feared unreliability of the support that it is wanted the rigid cap beam counteract.
So I would say that very rigid cap beams come mainly from lack of confidence of a regular behaviour of the foundation. Exception made of cases where the piles end in layers of vast different rigidities, and surmised one has reasonable investigation of the soil, what uses to be common for this kind of works, most engineers won't go for the top rigid cap beam, but neither are them providing very weak ones, just in case.