You can solve this issue by either reinstalling d2x and Hermes' IOS222/223 using the new installation slots currently listed in the tutorial, which are not checked by Nintendo's current update procedure, or follow the steps to Avoid Disc Updates. And it is also possible to regain access to the current Wii Shop without updating the rest of the firmware. Having and using the homebrew discussed in this guide installed will neither increase nor decrease your chance of bricking via update. See the questions below to figure out what needs to be reinstalled.
Go to the Wii Settings page and the version number will be listed at the top right (e.g., 4.1U is a US system with firmware version 4.1). In fact, it makes it a little harder to install homebrew. The official update used to seem unsafe, but this isn't an issue any more.
To install channel updates without installing a system update you will need a homebrew application designed to update specific Wii Channels while avoiding a system update.
The two I have tried are Wii SCU and Pimp My Wii *, either of which can be used to update channels.
Instead, it gets installed in addition to any current IOS versions.
Question: How Do I Update Wii Channels if I Have Homebrew Installed?
If you want to watch Adobe Flash videos (such as You Tube clips) on your Nintendo Wii, you might find some difficulty in updating your Flash player.