Why wasn't Lawler ever pushed towards a title in WWE?

This. Those were the two posts I was going to respond to, and I think you did a better job of it than I would have.

I think everybody else has covered the reasons why Lawler wasn't pushed to a title, but I wanted to provide some perspective on just how old he was. He was 43 years old when he came into the WWF. Let's look at what some other superstars were doing in the WWE when they were 43.

Shawn Michaels turned 43 in 2008. That was six years after his last title and just two years before his retirement.
Undertaker also turned 43 in 2008. He would win one more world title, at the age of 44, before becoming a once a year wrestler.
Mick Foley also turned 43 in 2008. (Weird...) That was nine years after his last title win, eight years after his official retirement, and two years after his last WWE match.
Steve Austin turned 43 in 2007. That was six years after his last WWE Championship and four years after his last match.
Triple H turned 43 in 2012. That was three years after his last title win and two years after he went from being a full time wrestler to a part time wrestler.

That's five of the biggest superstars in WWE history. Only one of them won a title and so far only two of them have even wrestled a match after turning 43. When you really look at it, it would've been more unusual if Lawler DID win a title or wrestle full time for very long.