That's PIF. In that case, why not just jump in PIF.
So, what do you propose to do when someone puts up an "ok" offer and it just sits there for three days and stalls the thread. Despite numerous people suggesting that they should switch up their offer or try something else, they don't. Should they not get a strike? And then if your response is they shouldn't get a strike if it's a "decent offer" - who determines if it's a decent offer?
I thought about eliminating the strike rule if your offer isn't claimed with the caveat that you can't offer up the stuff that went unclaimed ever again, but what's the point. People could just hold back potential offerings anyway knowing - eh, if this isn't claimed, I have more stuff for the next time. And the veto thing doesn't necessarily work as it should because people are timid that several other "participants" will jump all over the person for using the veto with claims of "negativity." PIF is enough. People should just jump in that thread if they want to participate in a thread like this. There are already a handful of dedicated participants more than willing to take their stuff.
It becomes an issue of fairness. Why should you receive something, when you are offering nothing in effect? You take, but don't give back. This has nothing to do with being like PIF. It's a basic principle that should be inherent in this kind of thread. It doesn't matter whether it's the PIF or TGT thread.
Public opinion on this thread helps keep things in check. I know you've commented on whether or not offers are appropriate. Others have been vocal about inadequate offers. I'm sure those who are "timid" can see public sentiment and will act accordingly.