I would have thought pretty much ALL drives described as "portable" would meet that spec, certainly USB2 rather than USB3, but even so USB3 portable drives should be around that ballpark.
Have you got a link to that drive? All I can find by that model number is an internal drive.Looking at Manufactures specs that is not the case.
I have an 5K1000-1000 which is marked 5V 700mA and the 4000 does not see it at all even though it spins up.
I have Samsung 1tb compact HDD but it could not be seen until I reformatted to NTFSI have loads of portable drives I use on my HDR-FOXes, including Seagate Backup Plus (SRD00F1) and Samsung (M750U, 0.85A on the label). It could be that your FVP-4000T is within spec, but faulty compared with other examples.