Oh my gosh you're right and that's also a Kaitou Kid movie!!!! Is this a coincidence where Kaito and Heiji have weird affiliations with temple statue thefts and frauds? xD I'm actually wondering if Movie 27 would have a case with temple statues if it's like this
Wait Movie 7 has hints/clues of Rum arc? Would you enlighten me on that?
Well, the movie villain is the second-in-command of a criminal organization, and he wished so much to be number one instead of number two. He was wearing a tengu mask (hint at Karasuma, and the Karasuma Street of Kyoto). Heiji, by contrast, is Conan/Shinichi's second-in-command and sometimes poses as him to protect his identity. Rum probably does the same with the Boss, posing as him sometimes ("Karasuma"), but I believe Renya is dead and there's another "boss" leading the whole thing...
Movie 7 was the only movie Shinichi showed up, and he did so to protect Heiji and the others. He will do the same and appear in front of Rum, maybe pretending to be Heiji this time. That's pure speculation but I have this feeling...