Anarchist theory is almost 200 years old now, and for most of human history we lived in an anarchist way. There's much more there than "wreck shit".
But the question remains: what was the political ideology of these youths? Anarchists? Marxists? Fascists? Technocrats? Monarchists??? We may never know!
Vandalism is not much of a political ideology but here we are.
Also, actual anarchists are not going to vandalize bikes and public transit. It's kind of important that we be somewhat precise about our terminology as otherwise you just stoke political division to no real end.
As I said elsewhere, there are actual agreed upon definitions for this stuff. Careful not to go too far into the "everything is unknowable" hole.
Anarchist theory has a ton of practical and academic work over the past few centuries. It's not "the purge", it's a pretty well defined set of principles centered around building a society that primarily focuses on well being for all.