Thanks everyone for the replies, I inched some unimportant developed 135 film I had here whitout issues, and after some research there is a couple scans on youtube from 135 film shot through the Arri 2c, mostly fomapan. So it seems it'll work fine!
This friend of mine who has Lucky film lives in a nearby city, and he’ll be coming over soon so we can test his stock. However, I did some research, and it turns out that Lucky has recently resumed manufacturing film, but only 35mm. Was that 16mm stock new? I couldn’t find any reference to new 16mm Lucky stock—only something from 20 years ago. Anyway, If the stock does feel thinner, I’ll start with it, since it’s better to risk damaging the film than the camera, although, the mechanism on the Arri 2c seems pretty tough.