Not so. The whole point is to come to an arrangement with Tim/Manu, get their blessing for what they are happy with and go from there. Their cap holds don't matter because if they are willing to take the Room Exception/Minimum we don't need their Bird Rights so we waive their cap holds.
In fact, regardless of what happens in each of the three scenarios I presented we can waive their cap holds. We'll either have the cap space to bring them back or exceptions after signing a free agent if they are willing to take the tiny exceptions. Again, signing them to cheap exceptions would only be done with their blessing.
The main stumbling block is actually Danny. Let's say Timmy/Manu were unwilling to take the Room Exception and Minimum respectively ($2.5m/$1.5m) but Manu was willing to take the Room and Timmy wanted $7m-ish. We would be left with a decision to either chase a max free agent or bring back Danny and chase a mid-tier player with around $10m in cap. I see no reason why Danny would be willing to wait around as a free agent unless he got a cast iron guarantee he would be re-signed, which would be impossible if we wanted Gasol. Therefore we'd have to choose between chasing a big name or bringing back Green.
To bring back the same group AND add a max guy would require Tim/Manu taking tiny deals for their final year, perhaps unlikely but that's why you ensure you speak to them first and get an agreement on how little they'd be willing to play for. If $2.5m and the minimum is too little, which is absolutely might be, we choose between chasing a free agent and possibly losing Green.