Hi,
sorry for late reply, it's a weekend
No sorry, these modules does not uses well Joomla user plugins. Anyway we are working to add a registration/edit profile module for the next release, so something like this could be possible, for example you can add the module instead the static form with template overrides.
For now if JaLogin module works well in the other pages then you can use 2 modules:
- first JaLogin module with registration dropdown visible in all pages except in the registration page
- second JaLogin module without registration dropdown visible only in the registration page