While I am not Mr. Mercier ( who is a good friend of mine as you know) I can offer my understanding of the applications for Table 400.5 and how it related to 110.14(C)(1) if interested.
1) While the ampacity of the Flexible Cord and Cable can be selected from T400.(A)(1) or (2) depending on the cord or table type, it is going to be limited to the compliance of Section 100.14(C)(1) where applicable.
For example, let's say I had 60 amps of continuous load and 45 amps of noncontinuous load on a circuit that is being terminated to a circuit breaker. The math would be 60 amps@ 125% and 45 amps for a load of 120 amps. Now, per 110.14(C)(1)(b) which states that I must reference the 75C column of T310.15(B)(16) and gives no reference to T400.5(A)(1) or (A)(2).
As a result the smallest sized CU wire I can have for the 120A load is 1 AWG @ 75C which gives us 130 Amps of capacity. So why the table in Article 400....
These cable types are assumed to be installed in applications where there is adequate space and free air. Because of these anticipated installation conditions, overheating from being enclosed in a small space is not a large concern. Therefore, these cables are permitted to carry more current per gauge size compared to cable and wire types mentioned in NEC 2014 Section 310 Conductors for General Wiring, which typically are installed in applications with limited air space or air movement.
2) Their increased ampacity is useful for many things (for example voltage drop and so on) with the understanding that 110.14(C) will still always apply. Now, if the terminals to a specific application are rated for the use with the specific cord then it will be evaluated as listed and identified for use with the specific cable in question. Very frequently you have specific cables with finely stranded conductors that are rated for a much higher ampacity than its equivalent in T310.15(B)(16) but it is being used with a specific piece of equipment evaluated for such a cable and listed and identified as such.