Can you point to this standard? I have been trying to look into this recently, but the latest publicly available version of the ABYC E-11 is 2008 when LFP was in its infancy. They do not differentiate OCP based on battery type, only on battery bank size.
Let me see if I can help (disclaimer, I will probably hurt not help) as I am someone that also likes to focus on the conceptual level before diving into the practical application. For now lets ignore the idea of 'slow blow' or 'quick blow' beyond acknowledging that different fuses have different
'trip curves' i.e. the time it takes for a fuse to blow for a given current.
Fuses have 4 ratings (well probably more)
1) AC or AC/DC
2) Continuous current
3) Voltage
4) Ampere Interrupt Capacity (AIC)
This last point is where a class T fuse shines. A class T fuse has the ability to reliably break a extremely high ampere current. Much higher than MRBF or ANL fuses. It is my understanding that this is much more important with lithium batteries because of the low resistance, a lithium battery can pour so much current into a short. With lead acid battery banks, ANL, MRBF, and Class T fuses are all permitted for main battery protection by the ABYC (US marine code), but with lithium's much greater ability to supply current, a fuse with a very high AIC becomes much more useful (or even mandatory--i'm not sure about this).
Any fuse should fail (what a fuse is designed to do) when its current rating is exceeded for a long enough period of time, but to fail safely and reliably the fuses AIC rating needs to be greater than the current flowing through it. At least that is my simplified understanding of the idea.