Conversation so far:
When did A.J. Styles return to the independent circuit?
On March 14, 2003, A.J. Styles returned to International Wrestling Cartel (IWC) and successfully challenged IWC Super Indy Champion Super Hentai for the title.
Did A.J. Styles leave the professional wrestling independent circuit again in 2005?
On October 21, 2005, A.J. Styles won the vacant IWA: Mid-South Heavyweight Championship in a four-way dance match. Two day later, Styles lost the title to CM Punk.
What is PWG
The PWG World Championship is a professional wrestling world championship in the Pro Wrestling Guerrilla (PWG) professional wrestling promotion.
What was a major event for A.J. Styles during his return to the independent professional wrestling circuit between 2003-2005?
On April 12, A.J. Styles debuted in Combat Zone Wrestling (CZW), competing at the promotions 3rd Best of the Best event.

Question: Did he have a major rivalry with Rave during this time?
Self-contained rewrite: Did A.J. Styles have a major rivalry with Rave during his return to the independant professional wrestling circuit between 2003-2005?