So a few things with all this. First, Jumbo Frames does more than simply speeding up the traffic. It allows packets that are of 9000 bytes in size to go through the interface per transaction, instead of the standard 1500 byte size packets. That's a 6 fold REDUCTION in packet processing. The backplane of the switch and of the NIC has two critical measurements in the realm of performance, bandwidth and packets per second throughput. You may not be coming close to 10Gb in traffic, but if you are hitting the packets per second limit on what the NIC or switch can handle then you have a bottleneck. It can also get more complicated if you have a single ASIC per interface or multiple interfaces sharing an ASIC, because the ASIC is usually where the bottlenecks in either packets per second or bandwidth are present.
On to the storage, yes, your controller is capable of 12GB/s of bandwidth, but that's SHARED across all your disks, and 10K disks are not that fast at all. This is also sharing all IO, both read and write. So, while you have 12GB/s of bandwidth (assuming SAS here), the amount of disks on the bus that are in a shared config will impact this, along with the sheer 10K speed.
Also on the storage side, you need to make sure that the storage itself supports VAAI primitives. What this does is offload the data traffic during a vMotion (on the same storage) and not require that to go over the wire. If you are going between storage arrays, well than VAAI doesn't help all that much. If you can't take advantage of VAAI for any reason, then the Storage vMotion should use the vMotion interface. This is where you can also get into trouble.
If your vMotion interface is on the same subnet as your management interface, the lower number interface will always get the vMotion traffic. vmk0 is your management interface, so guess what get's the transfer. Also is true if the vMotion is on the same subnet as the Storage vmkernel adapter, you don't get predictable results.
The other factor that hasn't been brought up is the NIC configuration. If you have a single 10Gb NIC handling all the traffic, then yeah, it's going to be a bottleneck.
I hope this helps to provide some direction for your investigation, but from the information provided not a ton of help van be given outside of the general advice I provided above.