Hello. Thank you for contacting the Toolset support.
Toolset offers limited integration with both Astra and Elementor. Actually - its your choice with what you would like to go and you should test it first before you chose any option.
I suggest best option for you to learn Toolset quickly and export its capabilities:
You can use our free test platform http://www.discover-wp.com and use any of our reference site that is build on top using Toolset features even with Astra theme.
Once you create test site using any of the reference site on your local machine or server - you can add your additional plugins like Elementor page builder or install required Astra theme and check and test and explore and take decision with your findings that is it required or not.
By following this path you will have hand-on experience about how you can implement the functionality using Toolset or check the existing features of the current referent site that will give you idea how its built.
I am quoting you : "Toolset offers limited integration with both Astra and Elementor. Actually - its your choice with what you would like to go and you should test it first before you chose any option."