From the 2nd video, 1 missile certainly failed, in the first video explosion isn't very conclusive, it could just be a very low level terminal intercept followed by a mid altitude intercept from the second missile and hit from the third as well.
Now, the Patriot happens to be among the most combat tested SAM systems and in real life scenarios SAM crews have tremendous work loads in rapid short bursts. It has had several kills, several failures.
Ripple fire is always tricky in test conditions let alone in combat, not sure if ripple fire of all missiles from the launcher has ever been tested for Akash, if not they should. That said, Patriot is still an old system with new make up, it's time to replace it. Perhaps US should have a competiton and we can offer the Akash MK-2, certainly would be the cheapest while being reliable.
Such failures can be expected in all SAMs including Akash, S-400, MR-SAM and the solution is to continue to test and test the system to beyond it's capability, if needed force failures since they need to work in high jamming, over-saturation mode, SOPs need to be clear. Missiles need to be routinely maintained & sim tested on the ground. One should start with the assumtion that 25% of all weaponry will be duds if not for proper care and work towards proactive corrective measures.