Take a simple idea and multiply it a few times, Combine Ideas and multiply Them a Few Times. You will soon find that you have a Tree with many branches all connected to the Source.  Every Day the Source Changes.  Most of the branches can not connect back to the New Source.  Those that cannot connect to the New Source (the Draw) are burnt to a Crisp but stay in place.  The Ghosts of Trees Past When Brought to the Present will see some of their charred branches turn to Gold.  We Seek the Golden Branches.  In them we can find the path to the Source and be there to collect the Gold When the New Source appears. 

What We Need is a tool that Brings those Trees into the Present.  We Need to be able to Look at Many trees at the Same Time.  We Then Need to be able to Look at All of those Trees over Several of the Previous "New" Sources (Draws).  When We do that, We Can See all of the Golden Branches.  We can Find the Trees with the Most Gold (Or Fools Gold if you think I am Crazy)  As Time Rolls back we can see the Crisp limbs turn to Gold  and appear to grow again.  When We return to the Present We can See all of the Trees that Have Golden Limbs just waiting to reconnect.  We can then Select the Branches that we think will turn to Gold.  Perhaps the answers lie in the DNA of the Branches.  The Idea is the DNA of the Branch.  For Example Your Idea is to Look Only at the Draw Type.  In this Case you have a Stump Like Tree.  It is between 1 and 3 feet tall.  When You Look at Say 100 Ghost Trees, You can Pick out for example the ones that Need a Type 1 Draw to Reconnect.  You See all of the Trees and The Type that reconnects them.  Now Roll Back and see how many have Connected.  The Trees will disappear fast; but a few will outlast the others. When you get back far enough only 1 Tree will remain.  That Tree will be on a Run equal to the number of games back when if did not connect.  If the Number is high enough it should be expected that it will not reconnect.  In that case the Value or Type that if would select would not reconnect.  That means that the Other Type was the Correct Connection to the New Source.   The Longest Connected Tree will have to disconnect sooner or later.  This is a little bit like 2 Strings.  I will be taking a look for some similarities that might fertilize the Trees>HA!