When my dad was a judoka, judo was his conditioning and he did some standard lifting every other day. His ideas on lifting were probably pretty mainstream of just pressing or squatting from his HS days.
Currently one of my friends is doing BJJ as sort of his fun time get to beat on people outlet+active get back in shape conditioning (he's also a former wrestler and judo is hard to find where he is). I think he is either doing some basic lifting which is probably SS-like since that is what he likes (besides he is/was a firefighter [just an EMT now until he can find another FD position]).
Maybe see about asking Gant Grimes on this.
Nothing bad about just doing a strength program with 5 exercises, just depends on which ones.