  We study how a wide class of Abelian Yang-Baxter deformations of the
AdS$_\mathsf{5} \times $S$^\mathsf{5}$ string behave at the quantum level.
These deformations are equivalent to TsT transformations and conjectured to be
dual to beta, dipole, and noncommutative deformations of SYM. Classically they
correspond to Drinfeld twists of the original theory. To verify this
expectation at the quantum level we compute and match (1) the bosonic two-body
tree-level worldsheet scattering matrix of these deformations in the uniform
light-cone gauge, and (2) the Bethe equations of the equivalent model with
twisted boundary conditions. We find that for a generalization of gamma
deformations of the BMN string the we are able to express the S matrix either
through a Drinfeld twist or a shift of momenta. For deformations of the GKP
string around the null-cusp solution we encounter calculational obstacles that
prevent us from calculating the scattering matrix.
