This comes down to how you boot between the two. A shutdown of Windows will save the "fastboot" information for the next boot but a reboot will not.
So if the last boot was running Windows and shutdown you should boot into Windows first and then reboot into Ubuntu. Otherwise if you were last running Ubuntu you could boot into either.
Also someone correct me if I'm wrong but I believe booting into Ubuntu while Windows is in fast boot hibernation only prevents you from mounting the NTFS partition under Ubuntu.
I have never disabled fast boot or experienced data loss when booting between Windows 8, Windows 10 and Ubuntu but I suppose it is a risk.
In regards to this being a comment rather than an answer I'll try to be more clear
My answer is you don't "need" to disable fastboot in Windows in order for dual boot to function. However bearing the limitations in mind listed above:
- Inability to mount hibernated NTFS partition.
- Time wasted booting into Windows so you can "Restart/Reboot" into Ubuntu after Windows shutdown
- Increased potential for data loss
You may want to consider disabling fastboot for convenience and data safety.