Once she's got a better view of it, she certainly recognizes it as Correlian and a type of freighter, but because timelines in their universe is fairly frelling weird (Dia herself hails from the Old Republic and Sith Empire era which may or may not still be canon, the world may never know), she doesn't strictly recognize the class.

Because seriously, who else other than the Correlians would put the cockpit on the side, instead of the forward section?

To keep from scaring Han half to death, once the ship's landed, she slows down, and eventually stops jumping from rooftop to rooftop, and instead walks up like some normal person.

Insomuch that she could barely be considered normal. Exiled, very gray Sith, with the emphasis on both the gray and exiled portions of that. She wasn't exactly tall, pale skinned and wearing a longcoat, heavy boots, and pants, with a long hilt on her belt that Han may or may not recognize as some breed of Lightsaber. But there were also those yellow eyes of hers, too.

"Are you alright? It looked like you were having a rough landing there." She speaks with an accent, if either of them were from Earth, it might be some form of generically British-English, "And it didn't exactly look or sound like your engines were too happy about it."

Admittedly, starship maintenance wasn't originally her purview, but when you're flying a stolen ship, and cut off from most of the reputable spaceports, you learn things. Such as the wonders of Space Duct Tape.