I got some winter wheels/tires online and opted to save myself 450.00 and go without the sensors like yourself.
It has no negative effect to run without them, like others said, but I will say the TPMS fault error on the screen is incredibly annoying. Even if you swipe it to the left to minimize it to an ICON, it will come back in a min or so. At this point, I'm not going to have the tire re-mounted just for that, but when I need new tires, I will 100% be getting some cheap TPMS if they can be had as cheap as morbidz said
edit: I would recommend adding them if you can get them cheap, if for nothing else than the convenience of knowing when you have a tire leak and to save yourself from the annoying fault message