The concern regarding Curcurmin/Turmeric according to the table on page 25 is that it could 'enhance' the absorption of some TKI's (dasatinib in my case) which may or may not be a good thing. Clinical trials are done specifically to learn pharmacokinetics and efficacy of drug treatments (and adverse events). Once these data are collected, then anything which could alter these results is noted and concerns raised.
In the case of Curcumin, it's half-life in the blood is only a few hours. And the half-life of dasatinib is about 5 hours. By avoiding taking the drug at the same time (by a few hours) as Curcumin, the interaction (if any) between the drug and Curcumin is greatly reduced or eliminated. But I personally was never concerned about it because I never took full dose dasatinib and Curcumin's synergy with dasatinib is also reported (see below).
In my own case, I have been taking Curcumin with dasatinib (not at the same time of day) for many many years. But I also took a very low dose of dasatinib (20 mg) before stopping therapy. Curcumin has also been documented as "enhancing" dasatinib effectiveness. In my early days of treatment, I took curcumin at the same time of night as dasatinib (because I was taking a lot more curumin at the time) with only a falling PCR as a result.
But, I am just one data point.
https://pubmed.ncbi.nlm.nih.gov/20473900/
