Honestly, probably doesn't matter in the grand scheme of things unless your thesis is a publishable research article. However, many theses never reach that stage of polish as students often do not see the need to publish it. Plenty of students go on to get solid jobs and doctoral degrees without a published thesis. And chances are, if you apply to a doctoral program during your 2nd year of MPH, your thesis won't be done or published during the application process, anyhow.