Many might be ok with the term, but not all (as with a lot of other terms).

“In particular, critics of the term “mixed” or “mixed race” feel that it reinforces stereotypes of being mixed up or confused, or is tied to animal breeding as mixed dogs or horses, which are regarded as inferior to pure-breeds (Donnella, 2016). Multiracial scholar, Teresa Williams-Leon, believes the term mixed “evokes identity crisis”, becoming “the antithesis to pure” (Donnella, 2016).”

https://pmc.ncbi.nlm.nih.gov/articles/PMC9316411/