When you have a contract offer to an FA, and you get a message that someone is outbidding you, your offer status in effect until you do something. When you increase the offer, THAT withdraws the previous contract offer and institutes the next one. It's a nuance that you may say isn't obvious, but it actually does show that very information on the player's FA page. It shows all your previous contract offers and your current one. It says the other offers were all withdrawn.
It's not especially intuitive, I will grant that, but since you seem to want to compare the two systems, that's your connection right there.