It's definitely weird to see your management vmk NIC with active iSCSI connections. If iSCSI traffic really is flowing through this connection, it makes sense you don't see any traffic on the other vmks or vmnics. (grep again for "3260" in case of multiple/different target IPs)
Can you check again on this hos that only the other vmnics are bound to the iSCSI software HBA of your host?
esxcli iscsi networkportal list
Also, in my case only the iSCSI bound vmks are listed with "Compliant true", in your earlier post it showed 3 vmks as compliant:
# esxcli iscsi logicalnetworkportal list
Adapter Vmknic MAC Address MAC Address Valid Compliant
------- ------ ----------------- ----------------- ---------
vmhba36 vmk0 00:24:81:7d:17:b6 true false
vmhba36 vmk1 00:50:56:7b:f2:9d true false
vmhba36 vmk2 00:50:56:79:42:f4 true true
vmhba36 vmk3 00:50:56:73:55:3c true true
vmhba36 vmk4 00:50:56:7f:2a:42 true false
Maybe you have to try to recreate/re-enable the ESXi iSCSI software HBA from scratch or something.
Or wait, now that I notice it:
You're running everything, the iSCSI targets/vmks and the management vmk ports in the same VLAN/subnet 10.34.96.0/24?
This might cause routing issues with ESXi trying to send everything over vmk0, which was only intended for management traffic only. You really should seperate management and iSCSI onto dedicated VLANs and subnets. You could even leave it in the same VLAN for the time being as long as you use different IP subnets, but it's definitely recommend to use seperate VLANs too.
To confirm this theory, post the output from:
esxcfg-route -l
and
esxcfg-route -n (or esxcli network ip neighbor list)
See which vmk resolved the MACs of your iSCSI target IPs.
If you want, you can also test the following to set a static route to your iSCSI target IP, I'd use it with caution though and on a host with test VMs only:
esxcfg-route -a [iSCSI target IP]/32 [IP of local iSCSI vmk]
esxcfg-route -a 10.34.96.15/32 10.34.96.103
But I think this won't work since esxcfg-route expects gateway IPs and won't "convert" it to local interfaces, it may even cause a local loop, so use it with caution.