In my experience, most purely online auctions, other than eBay, do work that way. Numerous auction houses, for example, including essentially all the major ones, have their auctions online now: when they are hybrid, that involves online live bidding where an online bid will cause the auctioneer in the room to keep the lot open for more bids; when they are "timed" or "online only", times are extended in some way on bids near the deadline. It does, in fact, work much better. There is still an advantage to bidding very late: there is no disadvantage, and it lowers bids in cases of irrational or imperfect opposing bidders. But it limits that process to something that can be done by hand.
eBay really seems to be the only auctioneer using the snipable process it uses.
eBay really seems to be the only auctioneer using the snipable process it uses.