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Yes, I think agents are very practised in telling both sides what they want to hear. My niggling concern is that if this buyer does make an offer and we start down that path then we won't engage a new agent and generate new interest, and it won't be so easy to just kick them to the kerb if they start messing us around. That said, we've got an option for moving in with relatives rent-free in the place we want to move to, which means that the only real problem with delay is stamp duty coming back in.
Yeah. Could use it to generate some urgency.
Worth noting that the viewer will know the place isn't currently 'officially' on the market so there won't be any competition in the wings, real or otherwise. They might offer you something low(er) because they think you might consider it or negotiate with them rather than going through the hassle of re-listing.
That said, if they don't offer you something you would consider you could always tell a massive lie in that there is another interested buyer who has made a better offer and maybe they would like to match it?