Is this your source for the claim that the placebo effect has gotten stronger?
It merely claims that the gap between a placebo and real drug has gotten smaller, while your theory predicts that they would both grow, the gap unchanged. And the evidence is that lots of new drugs don't work, which is easy to explain other ways. It does claim that placebo response to antidepressants is larger than it used to be, but depression is difficult to measure and it is easy to believe that this is a different population that wouldn't have been treated earlier.
I believe that a less specific version of your hypothesis is commonly accepted: being part of a medical trial gets people better health care. I'm pretty sure that it has been repeatedly measured that compliance is higher in studies than in nature, the usual explanation being attention. I don't know if compliance for medicine outside of the study has been measured.
The placebo effect (benefit in groups receiving fake pills) and nocebo effect (detriment in those same groups) have frequently been the bane of medical research. They are usually explained in terms of psychology: because people receiving placebos believe they have been treated, they get psychosomatic effects that cure symptoms and create side effects. This explanation is supported by the fact that the placebo effect is strongest when the effect being studied is subjective - eg, tests of painkillers and antidepressants. This explanation is neat, tidy, and in my opinion, altogether unsatisfying.
I have an alternative theory. Most people in medical studies take more than one medication; in addition to the drug being studied, they take unrelated drugs and supplements, usually including a multivitamin and often including other things they were prescribed. However, many people take their pills inconsistently; they miss or mistime some fraction of their doses. This is especially true of depressed people. Prescribing a placebo, however, fixes this; when they take their placebo pill in the morning, they are reminded to take everything else they should be taking. In addition to making pill-taking more salient, being prescribed a placebo may also cause some people to fix the organization and affordances they have for taking pills.
I suspect that many of the benefits attributed from placebos may in fact be due to increased compliance with unrelated prescriptions and correction of vitamin and mineral deficiencies. Arranging a study to test this should be fairly straightforward; simply measure the rate at which unrelated prescriptions are refilled in two groups, one of which receives sugar pills and one of which does not.