The half life would affect how often to dose to achieve either a minimum level of the drug or a steady state at re-dosing. Doubling the dose would theoretically add one half life of time to the dosing schedule to maintain that level. Patient preferences are for 'convenient' dosing schedules so that's what they shoot for given tolerance and efficacy issues.
Also, not all drugs require that there be drug present (could already be eliminated) at the time of re-dose to be 'clinically effective'.
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