Unlikely to have a major impact.
It is always prudent to advise every patient to take medications as prescribed and only terminate as instructed. You are doing this, so you are likely ok.
The reason these warnings,exist is because some patients, in some situations can literally die from abrubtly stopping cardiac meds. Unfortunately sometimes folks start having adverse effects to some meds and rather then proceeding to the doctor or emergency room,they choose to simply stop taking the meds, some of these patients can pay dearly for this. This is not everyone, nor is it the majority of cases, nor is it a problem with every medication, however it is enough of an issue that it warrants a blanket warning. This way we can be certain that the determination can be left to a qualified provider with years of experience as opposed to dr google.