'Socially liberal but fiscally conservative' can be summed up as follows: "I don't want the gay homeless man to die because he's gay, I want him to die because he's homeless.""Left wing on economic stuff" in the American context is an argument that has always been a deliberate lie. It presents an ideological divide that does not exist, and whose existence is fundamentally, bafflingly incoherent.
The false argument was that left-wingers want to spend more money, and "fiscal conservativism" wanted to spend less.
That's a lie.
All sides of politics want to spend the same ideological amount of money; "as much as is needed to fund the programs and systems the nation needs and no more". The disagreement is on which programs and systems are needed. "Fiscal conservativism" only gets brought up by social conservatives who know they're bigots, and don't want to reveal that fact, so they pretend they're fiscally conservative, and, say, want to defund and destroy any programs that would address gender/racial/orientation type injustices, whether directly or indirectly. Their goals weren't ever to actually reduce spending, it was to cut spending that benefited those they hate, leading to greater suffering for those groups. They don't want to defund Planned Parenthood because they're concerned about spending, they want to defund it because they hate women.
"Left on economic stuff" is even more ridiculous a lie. Are they talking about dismantling the capitalist economy wholesale and implementing a socialist system in its place? No? Then they aren't talking about left-wing economics, really.
"Left-wing authoritarian" is also problematic. I'm not saying it can't exist, but groups like China and the USSR swing back rightward when their economic systems act to support the political elite over the masses; authoritarianism has a rightward pressure, inherently. The controlled-economy factor is on the liberty-authoritarian axis, not the left-right axis. If you're establishing a functional class/caste system based on association with the government, that's pushing rightward; the further left you go the more hierarchical structures are eliminated/minimized, and it's hard to maintain an authoritarian system without a power hierarchy for the authoritarians to use against the masses.