As an Ashland Realtor, I will give you an Ashland answer. Please let it be noted up front that there is some stereotyping, and attempts at humor here, and to not get offended or take me too seriously.
Ashland is the greatest place on Earth, and seller's know it. Cash is only part of what an Ashland seller needs. They also need to know that you will love the house as much as they do. Does the buyer not only have enough money, will they make sure the Feng Shui stays good. That there is still room to do Yoga in the front where the East light comes in in the morning. Don't forget that there needs to be room in the garage for your Prius, Bicylce, and Scooter. You are a master gardener, right? Volunteer regularly at the Shakespeare and Britt Festivals?
Sellers frequently have egos about their house, the price they are asking, and what they perceive as what they have already lost on it because they didn't sell it 3 years ago. Also factors such as motivation (if it is a couple do both people want to sell), how much they may owe, how much they bought it for,
Almost everything in Ashland sells within 95% of the final asking price.....it is the mentality here. The sellers come to grips with their price if it is too high slowly...reduce the price....and when it becomes appropriately priced...they take an offer within 95%. Now this may be 80% of their original asking price...but it was on their terms.
I assume because you have made an offer, that you are working with an agent who is representing your needs as a buyers broker. I would ask them their experiences with sellers here in the area. Also they should know the differences between Realtors, and the different styles that local Realtors have. That is one of the benefits of hiring a good local Realtor to represent your needs.
Ultimately though is if your best offer is not good enough at this time for the seller to take...it doesn't matter if it is cash, or a loan.