I disagree. The TNSE approach to Vesa has been nothing but patience. They've spent a season on the Moose reworking his game to be North American in orientation. They acknowledged pretty openly that his game needed a sort of functional rebuild. I think your comparison to Harkins is actually appropriate, but not with respect to the intent you lend to it. Harkins in my mind is exactly what they are trying to achieve with Vesa, only in a bigger body. Harkins is a 2015 and is only now ready to take the next step. His regular playing time likely comes at the expense of not re-signing someone like Perreault. Vesa is getting a shot only now in the NHL and even then it is substantially limited. Even if the Jets were to send Vesa down to the Moose for the remainder of the year I wouldn't take that as a sign that his time has run out, rather than the Jets don't see a regular fit for him in this year's roster so more and better development could be beneficial with the Moose, Covid notwithstanding. What I do expect is he bounces between taxi and regular squad, getting limited games and minutes for a taste at the bigs and to evaluate progress this year.
I think Vesa's ultimate role comes as playing third line wing on a Lowry-like line. Big body, hard to play against, defensively responsible (in time). Perfetti on the other hand has a much higher ceiling, and really, from draft onwards, has always been much more highly regarded than Vesa. While Vesa was a first rounder, he was quite late (24) and as such, a project of sorts, much like Roslovic who had a similar draft spot. But I don't recall anyone hyping Vesa to the extent that we see with Perfetti. I don't even view them as competing for the same role. Perfetti, if all works out, is likely a possession driving winger that would benefit Scheifele, PLD getting someone else assuming he (PLD) signs an extension. Assuming Perfetti doesn't become a center at the NHL level that is, something we were all drooling about prior to the PLD acquisition. With confidence and time Vesa might ultimately become a mini-Wheeler but I think that's somewhat improbable and perhaps delusional on my part, so for the time being I'll stick with my prediction from the start of this paragraph.
Appleton too was a 2015 draft. Holding Vesa to the same standard would give him at least another year to take hold of his opportunity. Fully acknowledging the massive difference in draft position between Appleton and Vesa.