来 drew wheat — the crop itself. Legend says wheat 'came' to the Central Plains from the west, so the grain's picture was borrowed for the verb of arrival and never returned. Every Chinese 'come' is secretly a stalk of wheat.
来 welcomes: 欢迎再来 'welcome to come again' bows you out of every shop. It also serves food — 来一个宫保鸡丁 'bring one kung pao chicken' is how you order like a local. 来不及 'can't make it in time' is the deadline's verdict; 未来 'not-yet-come' is the future.
Wheat that CAME from far fields — arrival in grain form.
来了来了 'coming, coming!' shouted while not moving is a universally recognized Chinese household phenomenon.