The sv650 is a great bike, ridiculously reliable and easy to service. The do rust, get crashed and get stolen. I think a naked one is perfect for your situation currently if you did decide to get a bike. There are some downsides to it, I think you’d get frustrated with the standard brakes. Don’t get me wrong they stop the bike, but they aren’t necessarily as good as you’d want from that size bike. Same story on the suspension front really. Consumables are very cheap.
However, I’m going to come down on the other side of the fence and suggest you wait to get another bike. If you put a new (to you) motorbike off for the time being, it’ll focus you on moving out of town to a house, and it’ll be one less thing tying you to a job you don’t like. My bike costs me about £500 a month to run all in - this is a 2010 bike where I’ve assumed depreciation is negligable. This £500 is quite hard to forecast too, and it probably carries at least a 10% uncertainty to it because insurance and servicing are large variables known only to an extent.
Since lockdown started in March I have ridden my bike precisely 0 times. At the start, I don’t think I’d gone more than 4 days without riding a bike in the last 4 years or so. I was pretty grumpy, and my stress outlet was gone. Now, I’m more cautious about reinsuring my bike than I am desperate to ride it, as like many drivers in the last few months my skills will have gone rusty.
I also have a friend who sold his motorbike a few years back after his sister’s boyfriend passed away in a bike accident. He’s replaced the motorbike with a push bike. If he’s short on time he can take that out for an hour and that’s enough for him. Sometimes he’ll just take off on it and he rode to the Isle of Wight this weekend for example. He seems pretty happy about the situation and it gets him by until he can escape London and have somewhere safe to store and enjoy his motorbike.
I think, based on what I know now, that if I were in your situation I’d be taking up cycling instead
