Yes, this is clear, but these points seem to me not to be really (pseudo)random. There is a order. You can move only forward (from private key's point of view). Therefor many collisions are just impossible to get (instead in the birthday paradox, each new distinguished point has the chance to produce a collision with any previous distinguished point, for example that happens in
BTCCollider, because in that case you can jump in any position, you go back and forth across the entire space)
Example with only 2 sequences:
If we suppose that W_100 is = (2^37)*G and T_100 is (2^38)*G, than between T_101, T_102, .... , T_2**32 it is no longer possible to find a single distinguished point with the same coordinate of any distinguished point that lies in W_0, W_1, W_2, ....., W_100. For sure.
Then how do you apply in this case birthday paradox?
It is impossible to get a collision in the path of the same tame kangaroo too, because the same kangaroo cannot turn back, then this is a pseudorandom sequence very particular ...
Maybe the following links will help with understanding the motivations behind the Kangaroo method:
Pollard’s Rho method is based on the birthday paradox, but the Kangaroo method on the other hand is not.