You're correct - the e1000 doesn't support jumbo frames. You'll need to use VMXNET2 or VMXNET3 for VMs requiring jumbo frame transmission. The question above references VMKernel ports, not VM ports, so we assume he's referencing jumbo frames support for the host - either iSCSI or NFS access.
In regards to the Nexus 1000v's VSM interfaces using e1000 - this isn't an issue. Keep in mind the VSM's interfaces are for control & management traffic only - NOT data plane traffic (such as IP storage).
Jumbo frames have to be configured end-to-end to provide any value. The only networks/VLANs people normally enable them are for IP storage access. It's critical to test jumbo frames access with vmkpings of larger packet size to ensure you have no bottlenecks. If you can't hit end to end with at least a 8960 packet then create an SVI on each upstream device in the corresponding VLAN and test each hop until you find out where MTU gap is.