The underlying issue is that Obama was beholden to the exact same corporate influences as Bush. You don't rise through Chicago politics that fast without some deals in place. This isn't a condemnation of Obama, by the way, but recognition of the system's vulnerability.
I grew up during the Clinton/Blair/Merkel era. I thought socialism was defeated in 1991. Everyone understood that markets and the private sector, with some levels of “nudges” as necessary, were the solution to everything. “Politics” was about how much you thought we should nudge in various directions, and whether you thought kids should learn about condoms or abstinence in school. So when Obama initially ran for office, I didn’t perceive Obama’s fundamentally neo-liberal capitalist world view as being a profound similarity between him and Bush. It wasn’t until people like Sanders and Corbyn started getting substantial traction that I realized we weren’t yet at the end of history and a commitment to the current economic world order was actually not universal.
The two had different rhetoric on guns, religion, and abortion, but very carefully preserved the detante on these social issues by not proposing any significant legislation affecting them. On energy policy, both supported fracking and coal. (Obama had some last minute 2015 environmental regulations, which were quickly rolled back by Trump, but they clearly aren’t a priority seeing as how he waited until the last year of his presidency to act.) On healthcare, both had significant measures to expand coverage. (Bush’s Medicare Part D was a $50 billion/year program, while ACA was estimated to be $95 billion/year.)
Talk about revisionist history, my goodness.