Thanks for your response.
I brought the box to the post office and they told me the same thing. As long as the tape is flat it's okay. But since they're so stingy with giving tape out, I had to leave it as is. It was raining out and though I brought the package in with a plastic bag, a drop still got on and slightly smeared the barcode. I have a Canon photo inkjet printer. I suppose at some point if I'm shipping often enough I'll get a laser printer.
But like you say this will not hamper it from reaching its destination.
I bought 200 self adhesive shipping labels last night from an ebayer in Sarasota so I can skip the whole tape fiasco. Maybe it is still recommended to tape over those..?