One amazing feature of the A314 - the trapdoor expansion with a Raspberry Pi co-processor for A500/+ - is the Remote Desktop, or Remote WorkBench (RemoteWB), as it's called on the Amiga.
Although the RemoteWB has some limitations, I think it is quite useful in some cases. For instance, if you write a blog post and need a screenshot of your WorkBench (WB), it is very nice to capture the Amiga screen from your PC with relative ease. In my opinion, this is probably the closest thing to a "native" capture of your Amiga WB you will get, without too much hustle that is. Of course, you could always use UAE if you want to capture a screenshot or grab a video of your favorite game - but that would be cheating, wouldn't it! 🙂
For the RemoteWB to work, you will - as you have probably guessed - need an A314 expansion card with a Raspberry Pi. You also need to have at least 512 KB of shared chip ram between the A314 and the Amiga.