They don’t need a reason to deny an interim. They actually need a reason to grant one. They used to hand out interims (at least for secret) pretty readily but that’s not the case any more.
If your finances are squared away (run a credit check), zero arrests and zero non legal drug use, and the foreign countries were simply vacations you should be okay. The interim’s are drying up and they want to scope your foreign allegiances. Your Secret clearance is okay as this is not a punitive event. Now, if the foreign connections are sketchy or have intelligence gathering concerns, it can become a punitive event.