Glad to see this question is generating some interesting debate.
The dictionary defines current as "occurring in or existing at the present time," or "most recent." Clearly, the price displayed by AuctionSniper does not meet this definition.
If the real current price can be displayed simply by clicking Update Prices, then perhaps the question we should be asking is, "If AuctionSniper has the capability to update prices upon request, why not modify the program to continually provide updated prices?"
Lacking that ability, a more appropriate label may be "Recent or Recently" although I still do not consider a 4-hour lag to be recent.
Feel free to disagree.