Is that binding without the property owner also accepting? Doesn't seem so to me.
Can you explain the legal basis on which this "both sides need to accept" thingie of yours come from?
The salesman and the buyer discuss the merits of the car one says they think they could pay 25000 and other 28000 but the buyer intends on test driving and having it checked out mechanically. Meanwhile the seller expects the buyer to have acceptable credit, sufficient down.
Whereas price could enter the discussion along with other factors both parties expect there to be a formal step in which paperwork is signed which actuates the sale. This could even in less formal situations be a handshake and a check but the difference between one and the other is clearly expressed intent to complete the sale.
That document is legally binding and it’s enough for the receiving party to accept for a contract to be formed.
Casually doing this over email is absolutely not the same.