You shouldn't cling too much on to this naming your fallacies idea. In the end all the fallacies are just non sequitur (does not follow) as in "The conclusion that you present does not follow from the premises". So it's not really surprising that you can apply lots of these named fallacies to lots of contexts. It's probably more of a situation of the "law of the instrument"
"I call it the law of the instrument, and it may be formulated as follows: Give a small boy a hammer, and he will find that everything he encounters needs pounding."
So yes you can see that as an anti-authority in the sense of:
Appeal to Authority: It's true because X said it.
Appeal to Anti-Authority: It's false because X said it.
Actual problem: Unless person X and their speech act are directly connected to the fact, the fact would be true or false regardless of what anybody says about them and people can lie or be wrong. So person X saying something does usually not causally imply a fact. It does not follow from Person X saying something, that this something indeed is true/false/happening.
The other problem is that this argument is sooooooo vague and sooooooo ambiguous that it's very easy to do that.
Like you could also call it an argumentum ad hominem, because he shoots the messenger rather than the message. Like the policies aren't bad because of their own merit but because Joe Biden proposed them.
It's also likely bidirectional or circular, like in "things are bad because Joe Biden did them", "Joe Biden did them so they are bad".
It's also a straw man argument and or an equivocation as his use of "socialism" reads more like a synonym for "bad, stupid, dangerous" rather than anything specific and as Biden isn't really running on "socialism" it's a misattribution.
And you could go on an on. Naming fallacies can provide a shortcut by presenting an abstract analog that people are more likely to realize is fallacious, but it's not the end all be all. It's much more important to realize what's wrong and in that case you don't have to resort to checking a list of named fallacies to see what fits.
The actual problem and the reason why a whole bunch of them fit, is because the "argument", for the lack of a better word, is sooooooooooooo .... oooooo .... bad. So essentially the conversation is:
A: Things are bad
B: What do you mean by bad
A: The things Joe Biden wants.
So in other words there is nothing to work with. The only information that you received is that he's dissatisfied with the situation and that he blames Joe Biden. And that alone is too ambiguous to be useful.
Like it's great for political mobilizing, like if you ask 100 people a loaded question of "don't you also think we could do better?", "Doesn't our government do a suboptimal job?", you could likely get a whole lot of people to agree with that regardless of government, direction and politics in question. Like there is always something to complain about if you look careful enough or if you are specifically directed to search for something, but while many people might agree, they might do so for very different reasons and to very different extends. So too little, too much, not enough, existential threats, minor inconveniences, half full or half empty, everything can fall under bad and "not optimal".
And maybe that's intentional, maybe in that bubble it's just their version of "small talk". Like in/after cold war times where "socialism" is "the enemy" you're probably fine not knowing what socialism is other than that it's a synonym for bad and "what the bad guys are doing". In fact knowing too well what socialism is might make you look like one. So saying something and ranting together without actually saying anything productive, might just be "small talk" or their version of "quality time with the family"...
Or they are too far gone lunatics that just present you with the most ambiguous and palatable version of their argument so that you agree first and only after building rapport and bonding you're told what you've actually been swallowing.
The things is, there is too little to work with, it could be valid, fallacious, truncated, distorted, whatever you say could be called a fallacy because you're missing their point and you might actually do that, but there's also no chance for you to address their points heads on because they didn't give you any.
So before you should get into searching the fallacies, you should make sure there is an argument in the first place. Like even a straw man argument presents a target, while if someone else is just emitting hot air, you'll have a hard time trying to land attacks with your laser focused logical arguments. Hot air just evades and reforms without feeling anything. So maybe get them to build an idea of their own, usually hot air isn't a very good construction material either.