Hello JimBKHS
Good day!
The recommendation in AN1902 to tent thermal vias on the top side (component side) is primarily to prevent solder wicking during reflow.
Your concern about trapped air in shielded vias is valid. However, modern solder mask materials and via shielding techniques are designed to minimize this risk. The void is typically very small and unlikely to cause damage unless the via is large or the board is under extreme thermal stress.
Usually, each company that manufactures PCB already has its own methods and practices to minimize this risk.
As extra note:
If possible, use via fill and cap plating (IPC-4761 Type VII) to completely seal the via. This avoids both solder wicking and air entrapment.
I hope this information has helped you, please let me know if you need help with anything else.
Have a great day and best of luck.