Tubby, Vilas, please allow me to make a suggestion:
reference FCOM A320 PRO-ABN F/CTL SEC 1 (2) (3) FAULT
There are two paragraphs, for :
- triple SEC failure with A/P on
- triple SEC failure with A/P off
For both cases the text says that the ECAM will display: When [...omitted here on purpose] ... Direct Law. Then, the explanatory note goes on to say, that the DCT law will in this specific case of 3x SEC failure not come with L/G, but at CF 2. Ok, we keep this i mind.
Point 1: admitted here is, that what ECAM will show you, is not really true.
Point 2: the DCT Law "engagement" conditions are A/P off + L/G down.
What you seem to agree on is that at L/G down (cf 2 really), direct law will take over which will disconnect the A/P. The logic of FCOM seems to be different to me: a + b > c; not b > c > a.
I agree with Gryphon that there is no landing capability loss as long as AP remains engaged, the aircraft could remain in ALTN law.