Interestingly, the primary production mechanism for the Higgs boson at the LHC proceeds via the fusion of gluon particles from the colliding protons. This seems strange at first glance, since the Higgs interacts with particles proportionally to their mass, while the gluons are massless. In the standard model, there is a higher-order process wherein the gluons annihilate into a virtual "loop" of top quarks (which are very massive), which then "lend" their mass to produce the Higgs.
Because previous measurements have been consistent with the Standard Model prediction, we already had some evidence that the coupling to top quarks was nominal. However, there are other possible scenarios involving exotic physics that could mimic this production mechanism, which could imply the existence of new forces/particles, and that the Higgs boson does not couple to "normal" particles in the predicted fashion. Because of the nature of these heavy virtual loop processes, it turns out that it's pretty hard to distinguish between different such scenarios by examining the kinematic properties of the events. Hence, the main observable is the rate, and even that can be made to match a wide range of values with or without standard couplings, given a clever enough theory.
This recent result demonstrates directly that the Higgs boson does indeed couple to the top quark in a matter roughly consistent with the Standard Model expectation (the CMS measurement shows an upward fluctuation, indicating even stronger coupling than expected, although this is probably just a statistical fluctuation). Therefore, no fancy/exotic physics (such as string theory, strong gravity, etc) are required to explain the observed production of Higgs bosons so far at the LHC.