Exactly because we can't coordinate there will inevitably be targets that are the same. We can't do the same thing we did last game where we claim every round (it worked badly anyway), but it still leaves the door open for counterclaims.
Your idea seems more suited for a situation where someone claimed to be a Legionnaire to get out of a lynch. A point to think about that is whether we should even consider claiming Legionnaire in this situation to be a pro-town move, since claiming Legionnaire, getting out of a lynch and getting other townie lynched removes 2 people instead of 1 from the scum PoE for our power roles.
But then it isnt really a strategy other than keeping your cards close to your chest until the right moment, so speculating on it seems sort of moot. Additionally, thats really not what it sounded like you wanted. 1) It sounded like you specifically wanted to force the scenario somehow
2) ignoring 1), whats the use of speculating on it early? I think if it even accomplished anything other that waste time, then it would help scum avoid a scenario where they get caught in a lie moreso then the opposite.
3) in case of a fakeclaim the claimed targets are witness enough (unless its the scumpartner but thats at least as risky).
The second point, assuming a misslynch necessarily follows an exonerating claim is a fallacy. assuming the claim is credible, the difference between claim and no claim are
1) all the information contained therein (including getting confirmed town and not directly relevant for a wincodition, as well as giving all the targets observed (if claimed, may choose to limit the information shared, but that reduces credibility))
2) replacing a misslynch with another lynch (statistically still town ofc, but i like any odds of hitting scum better than 0%)
without 2 its probably not worth it, but 2) matters far more than you think