Purpose: Postoperative pancreatic fistula (POPF) remains a devastating complication of pancreatoduodenectomy (PD). Minimally invasive PD (MIPD), including laparoscopic (LPD) and robotic (RPD) approaches, have comparable POPF rates to open PD (OPD). However, we hypothesize that the likelihood of having a more severe POPF, as defined as clinically relevant POPF (CR-POPF), would be higher in an MIPD relative to OPD. Methods: The American College of Surgeons National Surgical Quality Improvement Program (ACS NSQIP) targeted pancreatectomy dataset (2014–2020) was reviewed for any POPF after OPD. Propensity score matching (PSM) compared MIPD to OPD, and then RPD to LPD. Results: Among 3,083 patients who developed a POPF, 2,843 (92.2%) underwent OPD and 240 (7.8%) MIPD; of these, 25.0% were LPD (n = 60) and 75.0% RPD (n = 180). Grade B POPF was observed in 45.4% (n = 1,400), and grade C in 6.0% (n = 185). After PSM, MIPD patients had higher rates of CR-POPF (47.3% OPD vs. 54.4% MIPD, p = 0.037), as well as higher reoperation (9.1% vs. 15.3%, p = 0.006), delayed gastric emptying (29.2% vs. 35.8%, p = 0.041), and readmission rates (28.2% vs. 35.1%, p = 0.032). However, CR-POPF rates were comparable between LPD and RPD (56.8% vs. 49.3%, p = 0.408). Conclusion The impact of POPF is more clinically pronounced after MIPD than OPD with a more complex postoperative course. The difference appears to be attributed to the minimally invasive environment itself as no difference was noted between LPD and RPD. A clear biological explanation of this clinical observation remains missing. Further studies are warranted.