Basically my question is : "are electro-acoustic guitar a good/fair/bad thing ?". But in case this question depends on context or needs I will describe my plan. I'm open for any comment.
Where it started
I was curious about electro-acoustic guitars. This is quite handy as it doesn't forces me to play only on amp - I like the idea to just grab the guitar and play, but I also want to record. I play many kind of rock (prog, alt, stoner ...) . Surely I will try few on a shop in order to feel how it sounds, but I raised some specific concern I wanted to adress. (And by the way baritone guitar is not the main topic but if you have some comments you think I should absolutely know don't hesitate).
Context
I'm a regular player since few years, I don't play live but I would like to compose and record music. I currently have two low-end guitars (cheapest), one acoustic (Ibanez) and one electric squier. For a new guitar I have a 400-500 € budget, this can help me enhance both of my guitars for the price of one. But really ? I have some soft and hardware for recording (Studio One, Katana amp, Audio-technica micro ...).
Questions
I heard that mic inside an electro-acoustic wasn't really good. Should I forget this idea to record with inside mic ?
Does such guitar sound fine on acoustic ? The body seems quite flat, I don't expect to sound loud but at least does it sound nice ?
If I record an EA guitar on inside mic, do I have a way to "mute" the acoustic part ? Isn't it a "problem" ? Should I record both anyway ?
Conclusion
Do you have any general comment ? Any propositions ? Should I settle for another kind of gear ? A nice electric-only guitar ? Is my budget reasonable ? ...
Thank you in advance for your comments !