Josh, what is your rationale for starting turmeric?
As I understand, its only confirmed property is a mild anti-inflammatory. But it is also found to be pro-estrogen and since ASPS might be a hormone sensitive disease, it should be a concern for the people with ASPS thinking of taking this remedy. I am personally not qualified to say if it is beneficial or harmful for the ASPS patients, and most probably no one else can say that for sure - you would need to test ASPS tumor specifically for receptors interaction plus to have the studies in human. It might be beneficial for people with other cancers but they all are different and have different receptors and the beneficial effect can not be generalized.
This is the best review I found:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3533886/
but if you read it, you can see that it is a work in progress and no answer for now, with some concern might also be toward the developed resistance to target inhibition - if Curcumin works to block some growth factors, it might be subject to the same problem as most of the TKI - the tumors keeps mutating and finally develops the cells that escape the block (i.e. improve some other growth pathways independent from the one that is blocked by this drug). Accrued resistance and the following faster growth is a danger when TKI are taken and careful planning should be used in treatment so the overall effect would be beneficial. The same concern is valid for turmeric if we assume that it works like a TKI, especially if the person is planning to have some other TKI in the future.
Complimentary medicine remedies are the same drugs but usually less studied and mostly given in a suboptimal dose without the proper control of its side effects.
May be it is a helpful drug for ASPS but it is just not known yet. If you found any studies or anything that would prove otherwise, post it here and we can look into them.