Does it mean now that A,B or C can origin connection to any Internet address and src IP A,B,C will be replaced with 10.10.10.201?yes
And important question: how bigip shuld now where to route requests when going to any internet address from A,B,C. Default gw should do the work or some VIP with default gateway?snat listener object will use routing table on bigip e.g. default gateway.
1. Having pc in internet (external vlan) one should do connection to IP 10.10.10.100 (Which I assume is from earlier task created VIP having pool A,B,C). As a result should have been connected to one of A,B,C and checking source IP should show 10.10.10.201.
But why is this example for?source is translated to 10.10.10.201 since snat listener object still applies even traffic hits virtual server e.g. 10.10.10.100. if you do not want to translate source, you may enable snat listener object on only internal vlan.
2. Then they ask to create route on PC to 172.16. network with default gw as floating IP.
And now the task is to connect to A and check source IP which again should be 10.10.10.201.it works since return traffic is sent to bigip (floating ip) which then is translated to correct real client ip address.
hope this helps.