would you rather have boromir live or die

[Millane]

you have offended me greatly Linaewen, not only for calling Boromir arrogant but prefering Faramir over Boromir there were obviously reasons Denethor liked Boromir more

In the former yes, he is too proud to admit that his initial thoughts of the Ring are wrong.

i dont think that had anything to do with pride... i think it was more hopelessness and he clung to the hope that the ring would be able to save Gondor... a lot of people say that Boromir was weaker for sucuming to the ring but i see it differently... his need for it was greater and it would have been more to do with himself than the ring curropting his weak mortal will