When you make this argument, do you argue the point yourself or do you quote and attribute Peterson? If so, with what purpose? If the argument holds by itself, there is no need to attribute everything in a casual conversation - unless that provides context, or authority. Context, in the sense of the greater opinion or works of the person; or authority, in the sense of "this topic is complex, this expert provides this view".

If you say "I find that way of thinking self-limiting", people might be willing to engage in conversation and why the disagree - or not; if you say "Jordan Peterson finds that way of thinking self-limiting", the conversation is with an external party, who happens to have said a bunch of other shit, and who happens to be introduced to people exactly like that, in shallow self-help bite-size edgy but not too-out-there videos.

As an aside, if you send people this link and you get a strong negative reaction, it might be because it is just not very good. It takes a naive and silly understanding of "you are okay the way you are" and proceeds to strawman it for a while, getting all sappy towards the end. When discussing sincerely held ideas, misconstruing the other party's position is a pretty fast way to get a hostile response.