What if my team is leading 2-1 with a minute left and we're using your set of rules? I can simply run far behind the defense and wait for my team to kick me the ball, then hold it in an offside position.
If you receive the ball offside, supposedly the linesman calls offside and the ball possession changes. If you were really offside, then it's the right call and possession changes. If you were really onside, then your team gets the ball back. I don't really see how this is affected by replay or not. Replay supposedly doesn't drain any effective time off the clock, just like injuries aren't supposed to take any time.
Alternatively, I can alternate being in an offside position with one of my teammates and we can just pass the ball to each other ad infinitum to run the clock out.
I don't understand how this is different from the first situation?
Alternatively, I can use it to my advantage by simply forcing the other team to track back because they're not sure whether offsides will actually be called, thereby draining four defenders with only a single, completely illegal, offensive run.
How is this different from today's rules? A striker makes an offside run. The defense has the option to offside trap or go back with him. I'm not seeing how the risk/reward suddenly gets changed. If the ball gets passed to the offside guy, the ref makes the call or not.
Or, the most likely scenario: the defenders stop pursuing when the offside flag goes up, the offensive player scores, the review shows that he was onside, then the linesman gets lynched on the sideline by the fans and/or players for blowing the game.
This is pretty much the meat of the argument. In this case, the offense gets no goal. Whistle means play stops and that's that. Sure, it sucks for the offense but play was blown dead. There are analogous situations in football, like not being able to challenge down by contact. In any replay type situation, there are going to be end points where replay doesn't work. So the game plays out exactly like it would without replay.
However, there are a few cases here and there where replay would help. Maybe it's not worth the cost to correct a few calls where replay can be applied. Maybe it is. Obviously, FIFA has decided they don't like it but it doesn't mean people can't complain still about blown calls. I'm pretty sure FIFA enjoys these ref scandals because it gets more press time to soccer, which is good. There are going to be people arguing about so-and-so blown call until the end of time, like the 1966 England-Germany "goal."
I mainly look at this from a basketball point of view, where there are clear, written guidelines on when replay is allowed to be used by refs, if they want. For example, who touched the ball last in the last 2 mins, whether a guy's foot was on the line, and whether the ball was released before time expired. You can't use replay for anything else, even if you see some blown call. In theory, soccer could set up something similar where a couple of situations are outlined where the ref is allowed to consult some replay and in no other situations. There's never going to be 100% correct calls in sports, but there still can be some improvement in a few situations. If it's not cost effective, I think people would be okay with World Cup only since English Non League and such can't afford anything like that.