First off, there's only two pieces of proposed legislation. The two permit bills are actually the same bill. The reason there's two bills listed by the LRB is one is Assembly sponsored, the other is Senate sponsored. It's just a "numbering" formality, LRB numbers every piece of legislation differantly even though they're the same bill submitted in two differant houses of the legislature. Just like the current castle doctrine... in the house it's AB69, but the exact same bill in the Senate is named SB79. Here we have LRB2027 & LRB2033.
LRB stands for Legislative Referance Bureau. They're the ones who actually do all the bill writing transferred into "legalese".
No training, and yes they all stipulate in a statute, that either open carry or concealed carry are NOT to be considered as DC. In fact, the permit bill goes so far as to punish any LEO with a class C misdemeanor who does otherwise.