Did King Lear's tragic flaw lead to his demise?

The question is asked: did King Lear's tragic flaw lead to his demise. As an individual, and one of opinion, it is an easy assumption that the answer would be yes, however, factors of the drama have to be dissected and examined in order to justifiably and objectively come to a proven conclusion.
One step closer to coming to an official conclusion is first deciphering and distinguishing what exactly King Lear's demise was. He banished a trustworthy, wise friend and servant along with his only faithful and loving child. The events which followed were ones triggored by disrespect from both children and servants, rejection and being ignored. These were the events which caused him to slip further and further worsening his downfall.
Looking deeper into it, one can identify his tragic flaw from as early as his banishment of his servant and daughter early in the drama. Pride. Pride is evident as he asked his children to express how much love they had towards him. Pride is evident as he makes request of 100 knights to be with him after he has no real purpose to the kingdom. Pride is also evident as he gets upset when his daughters when they do not devote the time and respect to him that he expects (match their extravagant expressions of love). Pride is evident in King Lear's speeches where he becomes angry with himself for crying, or where he speaks of how he is worth nothing to them (his children). The amount of pride he had is the major contributor to his character and it's development. The instances where he had become upset, like those mentioned before, it is not unnatural to get upset, but rather it was the high value he placed on pride. His great pride caused his being deaf and ignorant and bypassing the words of advise that those who loved him were willing to share. Therefore, too much pride can be concluded to be King Lear's biggest flaw.
His problem with pride is what makes King Lear stubborn to the perspective of Cordelia when she spoke about her love and the love of her sisters. Too much pride was recurrent throughout Lear's speeches and reactions, for example to Oswald when he referred to him as 'my lady's father'. He was forced to become reduced to less than King and this was all he meditated upon. It was the subject of his every thought. Time, however, had taught him to become more appreciative and not be blind to the true colours of persons.
Surely, the root of it all lay within his tragic flaw of excessive pride. All the series of events, his banishment of his daughter, being out in the rain in the storm because he refused to go back to the kingdom, down to his very death, were all a result of this flaw. Therefore, it can safely be concluded that King Lear's tragic flaw did lead to his demise