I agree OpenAI won't and can't have anywhere near a monopoly, excluding very unlikely legal shenanigans. The field is too approachable, and ultimately, to pinch into their market one doesn't need GPT-4 level performance. Besides, apparently OpenAI can't scale compute fast enough, so users will end up by default requiring other providers. There's a very good chance of OpenAI/Microsoft being major players though IMHO.
I can however see a possible future where open source is not going to have any significant impact on LLMs, say like Desktop Linux. Either because it gets stuck in a technical realm and doesn't make anything too approachable to ordinary users, or because it lacks the necessary integrations, or because developers get stuck arguing about the license (raw LLAMA not being good enough due to the non-commercial requirement), or because a moral panic ("4chanGPT is radicalizing people!") leads to a form of legal restrictions that makes open source efforts difficult to sustain. This doesn't have to be, so long as the hacker community can avoid falling into complacency.
On integrations, you're thinking about input, but there are still significant challenges there, the output step, API keys, rate limits, various crazy API corners, certifications... LLMs will help, but I expect integration to still be annoying.
For example, the Microsoft example where the Assistant changes the system to Dark Mode. You can't use LLM messy input to get that output on a generic level (and if you could, that would risk the LLM as an attack vector). You might be able to use a software development LLM to help write the code to do that specific thing and make it available to the product LLM, but ultimately that's a generic software productivity speedup - which also 'helps' those writing the API to make it more complicated and do more stuff we'll need to implement...