The most important thing one needs to ask is how relevant and useful these types of questions are to gamers. Tweaking controls (with AutoHotkey or other software) and gaming go hand and hand, even though AutoHotkey can also be used for other things. AutoHotkey is a commonly used macro software by gamers on Windows. Due to that, I think these types of questions are perfectly fine and fit Arqade's topic area.
autohotkey-related (and macro-related questions in general) have been accepted by this community for over 10 years. AutoHotkey is a video game utility, and more importantly, is a solution to many PC gaming-related controls and keybinding problems and issues. In Arqade's Help Page, "game-specific hardware and utilities" are mentioned to be explicitly on-topic. It is on-topic, just like other gaming software utilities are also on-topic here, e.g., steam, obs, discord, etc. (Even though those software are not video games and are also used for non-video game purposes.)
Banning autohotkey will limit the video game issues and solutions that we can talk about in this community, which goes against this site's purpose.
Several PC games have limited keybind configuration settings or have other issues with their controls, and banning autohotkey and other macro software will make gaming-related questions that have autohotkey or other macro software solutions be suddenly off-topic.
In reply to this part of Timmy Jim's answer:
Lastly, I think if someone needs help with AutoHotkey, they are far more likely to get help on SuperUser, where they have an AutoHotkey tag that has over 1,200 questions as opposed to our 14 (13 if you don't count the "AutoKey" one I closed that is incorrectly tagged). Possibly better yet is StackOverflow, where they have over 4,300 AutoHotKey questions. The audience of these sites are more likely to be able to answer these kinds of questions.
Some games or issues require AutoHotkey code or configuration written specifically for a video game or issue. A general non-gaming solution might not work for a specific video game or video game issue. A Meta SE FAQ post states:
Ask the question on the site you think is most applicable. Each site is focused on a specific topic area and it's important to respect the community.
If your issue is gaming related (i.e., you encounter the issue or problem on a video game), it is better to ask it on a site with a video game-focused topic area, community, or audience; rather than a general computer-focused (Super User) or programming-focused (Stack Overflow) topic area or audience. This is so that you are more likely to get a solution or code that works specifically for your gaming-related problem or issue. Also, Super User does not allow video game-related questions. In Super User's help page, it is mentioned that questions about video games are explicitly off-topic. Most, or all on-topic autohotkey questions here will be closed there.
As an example of how banning autohotkey questions would not be helpful, see this question (one of the questions listed in the meta post above): How to autofire F in Psychonauts?
The question is not really about AutoHotkey, but the game. If you remove the mention of AutoHotkey in the question, the question still is a perfectly valid, on-topic question in Arqade. The OP just mentioned AutoHotkey as a potential solution (most likely because it is the macro software of choice by gamers on Windows) and what they tried with AutoHotkey (but didn't work), but the solution doesn't need to be AutoHotkey. Some games might have a configuration to allow autofiring a key, or other software might also allow autofiring a key, or maybe have other creative (non-AutoHotkey) ways to solve or get around the issue.
If you simply ask "How to autofire F in Autohotkey?" in Stack Overflow or Super User, you might get an answer that works generally in most software, but more likely not for a specific game (which has its own quirks and issues). It is better to ask this in a gaming-focused community, since you are more likely to reach someone who also encountered this same issue in the game they are playing.
In the example above, since the question is about a video game (Psychonauts) problem, it got a solution specific to Psychonauts (emphasis mine):
I tried a different approach with the "automatic shooting" function that JoyToKey offers, but the problem seems to be in Psychonauts itself. While it does register keys remapped through JoyToKey, it does not accept repeated inputs without registering a release of the button you pressed.
This led me to the idea to send raw input events, which works. [...]
Banning questions (and indirectly, solutions) such as this one would not be helpful and goes against this site's purpose.
The XY Problem
The XY problem is asking about your attempted solution rather than your actual problem.
That is, you are trying to solve problem X, and you think solution Y would work, but instead of asking about X when you run into trouble, you ask about Y.
Source: Meta SE FAQ post: What is the XY problem?
Just because the OP of a question mentioned AutoHotkey, tagged their question with autohotkey, or prefer an AutoHotkey solution, does not necessarily mean that the solution to their video game issue has to be AutoHotkey, or other macro software.