The PSL is definitely not Trotskyist or even Marcyist imo. Whenever this is brought up, it is essentially guilt by association, as if a split from another party could not develop into its own independent political analysis. There is some limited influence of Sam Marcy within the party, predominantly his "Global Class War thesis" (which was just identifying the Cold War as a period global class war, and as such, imperialism as the primary contradiction world-wide), but the PSL does not uphold Sam Marcy, or any other line of thought. PSL is anti-factionalist and ML in structure and ideology. Members are encouraged to read and study all communist thought, and not mire oneself in the inter-party struggles of the 20th century: only to study and learn from them. Those struggles are important to understand and learn from, but of limited use when organizing in the US in 2022.

It is antithetical to marxist thought, or should be, to divorce the decisions of communists throughout the world from their material context, and then to try to apply them to a wildly different context. That is an error of idealism. Albania in the 40s, the USSR in the 20s, China in the 30s, 40s and 50s, are all completely different contexts than organizing in the imperial core in the 21st century. Ultimately, arguments and "debates" over the different inter-party struggles in history and over various "tendencies" are alienating to working class people, and detract from building working class power within a the historical background of 100 years of anti-communist propaganda. What is more, the development of communism in the USA is so nascent at this point, that most of these arguments are largely moot; too premature to have much consequence. This isn't to say that there isn't a right or wrong answer to some or all of these questions, but that it isn't our job to constantly re-litigate the past and critique socialist projects in the global south or in the past. Often times, deliberate study of the past easily reveals a correct course of action or idea. But if you want to build communism here, in the imperial core, you need to focus on building a party and working-class power here, in this context, and maybe more importantly, build a movement opposing the imperialism that suffocates all liberatory movements abroad.