OP, treat everything you hear from estate agents with a healthy dose of scepticism.
I work in conveyancing, due to the amount of purchases I help with I would say that I have a fairly good understanding of the market.
Most of our work is centred around South Glasgow, East Ren and South Lanarkshire.
Contrary to popular belief not everything in East Ren achieves over HR, it is more likely to achieve silly amounts than other areas but many go for either on or around the HR value.
Most other areas are a lottery, it really depends on how many people want the house.
You need to remember EA’s and owners have an interest in perpetuating local myths about offers over value, it’s not always the case.
To give an example, I dealt with a house last year where a sale was agreed at HR in a desirable area. It fell through due to the buyer pulling out.
The house went back on and the next buyer offered 12% over straight away as they thought it was necessary for the area, no competition, no closing date and a house which needed a lot of work.
The reality is that the seller was desperate to offload it and would have accepted £50k lower than they paid.
There’s no magic solution, every situation is different, but don’t jump in without testing the water first.