Please understand that there is a balance. Taking things to "reduce inflammation" or to "boost the immune system" run counter to each other. Inflammation *is* the reaction of the innate immune system. The immune system defends not just against pathogens, but also cancer. If you shut down the immune system too much, you can shut down cancer surveillance, which I don't need to stress, is a bad thing.
The downside to inflammation is that, yes, it is damaging. Needless inflammation is bad. And, as an added twist, from a personal example: my mother has Sjögren's and MALT lymphoma in the salivary glands. Sjögren's is an autoimmune condition that attacks exocrine glands. In doing so, it triggers a nonstop immune reaction in the salivary glands and the development of lymphoid tissue, with lymphocytes constantly proliferating. This nonstop proliferation runs the risk of - as in my mother's case - developing mutations that lead to lymphoma. So too much of a needless immune reaction can also cause cancer.
The immune system is an extremely complex, with hundreds of known cytokines, each causing various activation / suppression effects in others and having various other interactions with the body. So it's extremely hard to say, if you tweak this one thing, what will be the overall impact in the long term?
These GLP-1 agonists inhibit the NF-kB pathway and downregulate pro-inflammatory cytokines like TNF-a, IL-6, and IL-1. We think that this sort of downregulation is probably in general beneficial, in that in most cases it should not weaken cancer surveilance, and actually can help with certain types of cancers (but still can be harmful to some). Everything is situation dependent, and there's a lot we don't know.