@GatorJB, there's a cannibalization problem with doing that. I think the SEC wanted playoff expansion to 8 or 12 in the hopes that they could switch to pods and get 3 or even all 4 of the pod winners into the CFP without any kind of SECCG. You could even sell it as good for the players - "Look, we're going to do an 8 team playoff but eliminate the SECCG, so a NC team has the same number of games as before". That all got screwed by the "Alliance" and their priorities.
Without expansion, you will obviously have pod winners left out. If you do a two round/4 team pod winner SEC playoff before the CFP then you make it really easy for the CFP committee to just allow the SEC champ in each year, letting in more teams from other conferences that honestly couldn't beat the 2nd or even 3rd best SEC team in a game. I'd guess that's a big problem from Sankey's perspective; you don't want to make it easier to let less SEC teams in.
It almost makes sense to have an established single level pair of "SECCGs" each year and leave it at two winners. Have it rotate so in year 1 East plays West and North plays South, then in year 2 East plays South and North plays West, etc. Leave two teams as winners of that round and dare the CFP to not allow them both in - I'd bet we'd see both of those winning teams in the CFP basically every year. Christen the SEC Champ as whoever gets furthest in the CFP, with a tiebreaker of head to head/W-L/whatever else if both of them lose in round 1 or something.