Not a crucifix, that's Catholic and has Jesus hanging on it.

Putin is officially Russian Orthodox, they use this one with the slanty footrest and a caption-bar over the head: https://en.wikipedia.org/wiki/Russian_Orthodox_cross

The empty cross worn by MAGAwives is used by Evangelical churches. Catholics are not anti-immigrant enough for them.

(Regular mainline Protestant churches use the empty cross as well.)