High-dose nicotine induces depolarising blockade and subsequent secondary non-depolarising blockade at autonomic ganglia. Meanwhile, depolarising NMBAs induce depolarising block consisting of Phase I and Phase II. Is it the same thing?

Yes, they are essentially the same mechanisms as far as the nicotinic receptors go. It is primarily a difference in terminology. Although secondary non-depolarising block is a more scientifically descriptive term than Phase II, the depolarising NMBAs are already called “depolarising” to contrast with the non-depolarising NMBAs (direct nicotinic receptor antagonists). It would therefore be confusing to say that depolarising NMBAs have a secondary non-depolarising block. Hence, the common usage of the Phase I and Phase II terminology.