Spanning-Tree Reconvergence

Hi All,
regarding section 2.1 “Shutting GigabitEthernet0/1 on SW1” of this lesson,
I have some difficulties in understanding the timing of the changes on SW2/SW4:

how is it possible that SW2 converges before SW4, if SW2 is triggered by the Superior BPDU provided by SW4?

SW2#
02:51:09: STP: VLAN0001 heard root 32769-fa16.3e5d.b4a0 on Gi0/2
02:51:09: STP: VLAN0001 Topology Change rcvd on Gi0/2
02:51:09: STP: VLAN0001 sent Topology Change Notice on Gi0/1
02:51:10: STP: VLAN0001 heard root 32769-fa16.3e5d.b4a0 on Gi0/2
02:51:10:     supersedes 32769-fa16.3e95.a9c9
02:51:10: STP: VLAN0001 new root is 32769, fa16.3e5d.b4a0 on port Gi0/2, cost 4
02:51:10: STP: VLAN0001 sent Topology Change Notice on Gi0/2
**02:51:11: STP: VLAN0001 heard root     1-fa16.3eca.4096 on Gi0/2**
**02:51:11:     supersedes 32769-fa16.3e5d.b4a0**
02:51:11: STP: VLAN0001 new root is 1, fa16.3eca.4096 on port Gi0/2, cost 16
SW4#
02:51:16: STP: VLAN0001 heard root     1-fa16.3eca.4096 on Gi0/1
02:51:16:     supersedes 32769-fa16.3e5d.b4a0
**02:51:16: STP: VLAN0001 new root is 1, fa16.3eca.4096 on port Gi0/1, cost 8**
**02:51:16: STP: VLAN0001 sent Topology Change Notice on Gi0/1**
02:51:17: STP: VLAN0001 Topology Change rcvd on Gi0/1
02:51:17: STP: VLAN0001 heard root     1-fa16.3eca.4096 on Gi0/2
02:51:17:     supersedes 32769-fa16.3e5d.b4a0
02:51:17: STP: VLAN0001 new root is 1, fa16.3eca.4096 on port Gi0/2, cost 12
02:51:17: STP: VLAN0001 sent Topology Change Notice on Gi0/2

thanks

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