Thanks for the explanation, Odin.
The biggest problem with the migration of J2Store is making sure all Joomla 3 apps/plugins installed and used under Joomla 3 have a Joomla 4 counterpart.
So, if you have one or 2 extensions that are not available under Joomla 4, then you really cannot migrate J2Store with those extensions enabled.
That prevented a lot of users to migrate their sites in the past couple years.
We are trying to change that and update app/plugins that are missing for Joomla 4.
As we took over the projects, we are trying to prioratize what apps/plugins we need to update first, and we are basically trying to meet the demand (and it's a steep hill).
You can check our app store for what is ready to go for Joomla 4, but if you need specific ones that are not in the list, please let us know.
The migration tool is a requirement for the migration of J2Store, as it handles specific modifications. That is something SPTransfer might not do, and therefore you might not get the end result as expected.
I would suspect you would need to go through the migration tool under Joomla 3, update to J2Store 4 (under Joomla 3) and THEN use SPTransfer to upgrade your site to Joomla 4.