The new name follows the established convention of dropping the "Arduino" of the software (and hardware) product name from the category name where that is implicit (e.g., "Web Editor", "IoT Cloud", "PLC IDE").
Impact on Links
The name change will not break any links.
Links to Category and Subcategory Pages
Although the forum software adds a cosmetic text "slug" to the category page URL, the only technically significant part of the URL is the ID (e.g., 93). Even though the "slug" text will be changed as part of the renaming, the previous links will still lead to the category page as always.
Links to Topics and Posts
Topic and post URLs are not category dependent so there is no impact on links to any topics or posts under the renamed category.
I think that the convention of dropping Arduino from the category names where it is appropriate is a shame as it makes sense to me to be specific, especially when we may want to differentiate between questions about Arduino products and other similar products
I think it is a reasonable perspective, but I also think the established convention makes sense. You could tack "Arduino" on every single category name (e.g., "Arduino Website and Arduino Forum"). This is the Arduino forum so I don't think it is generally necessary to specify "Arduino" in cases like this where brevity is beneficial. The exception would be something like "Arduino SIM", where the name "SIM" alone would be pretty ambiguous.
Keep in mind that we can be more explicit about the purpose and scope of the categories in their description, which is typically displayed along with the category name in the forum UI.
Older versions are often not supported, but there are still some users with Arduino IDE 1.X. What should they do if they have questions about the Arduino IDE? Or should they simply be referred to Arduino IDE 2.X?
You mentioned renaming another category to IDE 1.X.. But installation and troubleshooting has to do with both IDE 2.X and IDE 1.X, right?
Although the current category name is very ambiguous, #using-arduino:installation-troubleshooting is exclusively for discussions related to Arduino IDE 1.x. The bulk of the topics in that category were already from Arduino IDE 1.x users simply because they were created during the time when that was the only IDE version series. Since the creation of the #software:arduino-ide-2-0 category, the forum maintainers have made a very strong effort to move all Arduino IDE 2.x-related topics that were created in #using-arduino:installation-troubleshooting.
