I think whatever you're currently doing is the most stressful!
I'm buying at the moment and feel very, very stressed that something will go wrong for it to fall through. I'm desperate to move. It's the third house I've got as far as conveyancing on. The first had a nightmare survey and the second I got gazumped on. There hasn't even been any chain on any of them.
But when I sold a couple of years ago (been renting since) it was excruciatingly stressful. Again, no chain either side, but the buyers were a total fucking nightmare. They lied about being cash buyers, went on holiday without instructing a solicitor, hired a newly qualified surveyor who told them our extension had needed planning permission (it didn't) and contacted the council to tell them buildings control needed to inspect (they didn't), changed solicitors mid-way, insisted on specialist surveys every other week, asked for (more) money off because it was a period property and would need maintainance going forward that they weren't sure they could afford, demanded to exchange and complete on the same day (on a family home that would take a lot of packing up, when they'd been flaky from start to finish), had their solicitor tell ours on the (first) day of exchange that we'd agreed to a lower price (we hadn't) and then failed their money laundering checks.
Later, I found a thread on here that they'd posted asking if they WBU to gazunder, their rationale being that based on our age we were probably mortgage-free and could afford it!! (We weren't and really couldn't - we were splitting up and every single penny counted.) Everyone told them they were morally reprehensible but they did it anyway. It did go through eventually, 7 months from offer to completion, but I was a wreck by the end, still recovering now tbh. If I hadn't been so desperate to get away from my ex I'd have told them to fuck right off.
<Deep breath>
So it can go either way, in my experience!
Good luck with your purchase @kirinm. I think you might be lucky if you want that house. That outstanding claim will put others off imo and probably rule out anyone who needs a mortgage.