As a binary format, I’m pretty sure wheel is totally fine (and if conda hadn’t invented their format before wheel was invented, they likely would have gone with it).
But the conventions around metadata (how to pin library dependencies), layout (in-tree or out-of-tree), and front end (internal installer vs external installer, and all the rest) vary so much that even if the packages looked like the same format, you wouldn’t get the same results.
One specific thing that conda does is build all binaries against the same dependencies and then pin those dependencies to each other. This is like an sdist having a version range for each dependency but the wheel of that sdist requiring a very particular build. If you lose that aspect, you lose a central piece of what makes conda conda, but if you take it then you lose a piece of what makes pip pip.
At some point, people just have to choose a world to live in and a source for their packages that fits their need (and many people prefer Anaconda’s packages - not conda-forge - for very legitimate reasons). By only promoting pip and PyPI, many believe there is no need to look further, as “the standard” way ought to be the best. But we also don’t promote the extra effort necessary to make those tools work - workflows vary, yes, but people coming to our community see us arguing about them (or see people taking sides) more than they see valid reasons to choose one or another. We don’t promote conda, but we also don’t promote distro packages or Homebrew either, or many of the prebuilt distros for Windows
And though I’ve said it a few times, I don’t think promoting more things is the answer. I think workflows are the answer. Pipenv and Poetry showed a workflow, which is why they’re popular. We don’t show workflows for pip - we promote what it can do, not what it should do. And that makes sense, as it’s a different kind of documentation and both are needed. But we don’t have anyone on the teams analysing who the users are, figuring out what they need to do, and preparing actual introductory docs that clearly let them know how to do what they need to, rather than how to use a hammer to hit anything that might be a nail.
There’s been some talk of defining personas to represent our users, and hopefully the steering council will provide some guidance on which of those we should prioritise. I’m looking forward to being able to have a concrete discussion about actual users and not just hypotheticals and strawmen.