Nejc makes great points. I remember coming to this conclusion before my Corona days. I had 15+ iMacs with Team Render. Aside from people quitting the client because they didn't know what it was, it saved me tons of time. When the animations became a little bit more intense, those older Macs would end up holding up the rendering since they would be assigned a frame and will keep at it until it is done. Team Render only gives whole frames to clients. You could have your fast machines done, but the last 5 frames are slowly being rendered on the slowest machines.
One good thing about TR is when the fast machines finish their queue, C4D will grab un-rendered frames and reassign them, but the slow ones will keep what they started. It doesn't sound worth it to add a that older PC when the new one can render 16 frames in that time. Maybe a long animation I would say, eh, even if I only get a few frames out of the slow ones, it's better than nothing. A shorter animation I'd say stick with new baby. Good luck.