I don't think it's going to make a difference. In fact, I'm not quite sure whether the dark energy research that got the Nobel was strictly limited to type Ia supernovae - it was before my time, and since they were using high-Z (very distant) supernovae, they might have wanted more massive type II ones, or something.
For about a decade, people have accepted that some SNe Ia are "over the limit" (under arrest!) and have developed "double-degenerate" models of colliding white dwarf stars. As sky surveys discover more and more, it's started to become apparent that there are also some "under the limit." This project has studied hundreds of supernovae over the last decade, and looked pretty closely at how they evolve over time. The reassuring part of the paper is that even though these supernovae are nowhere near all the same mass blowing up every time, they're still within a reasonably sensible range (0.9 to 1.4 solar masses) and that by watching what brightness they reach at their peaks, and how quickly they decline in brightness, and looking at their spectral curves (all of which are among the things that this particular collaboration looks at), astrophysicists can calculate their masses, and thus make any necessary adjustments to compensate for that. And by the standards of astrophysicists and cosmologists, the math required to "standardize" progenitors of different masses is probably considered "easy." Of course, these are the same people who think "nearby" means 0.4-1.0 billion light years away...
Disclaimer: I am not an astrophysicist of any kind. I got involved in astronomy a decade ago, and took a few classes 5 years ago, but my roles are overwhelmingly technical or operations, and when it comes to science, I am always the "village idiot" surrounded by PhD's. I'm not the guy who'll give a lecture about what the telescope's pointing at - I'm the guy who'll fix the telescope so it points at it in the first place. I'll take data - in this particular case, over a 10-year project, I'll probably rank #1 or #2 in terms of amount of time spent taking data - but I don't do the analysis or write the papers. My background was in things like systems administration, spamfighting, web development, etc., as one would expect of someone with my user number here.