Early cytopenias were first seen when the initial imatinib studies were done. The first rule is to ensure there is no marrow fibrosis or transformation, and this has been done.
Cytopenias that occur as a result of TKI therapy are because a patient's hematopoiesis is still clonal. In the usual situation, clonal will be shut down by the TKI regardless of which one is used. With the holding of the TKI, it is hoped that normal polyclonal hemopoiesis will recover and this is not a target of the TKI as these stem cells do not carry BCR::ABL1. This is the usual situation. In some cases such as the patient described here, the drug holiday has not resulted in recovery of normal hemopoiesis and the cytopenias recur with each restarting of the TKI as the "normal" appearing hemopoiesis is still clonal. This is not a specific side effect of any one TKI, but a problem with ongoing dormancy of normal polyclonal hemopoiesis. For this reason, switching to another, perhaps even more powerful TKI will have the same effect and thus is unlikely to be a successful solution. It could be tried, but in all honesty will likely result in the same outcome.
This is one of the indications for a stem cell allograft if feasible. If not, then continuing the TKI with growth factor support, tolerance for lower counts, and drug holidays as needed, and hope that the dormancy will abate before disease progression steps in.