Does a video implying that five JetBlue pilots died after COVID-19 vaccinations show evidence to back that up?

Of the five people named in the video posted on social media, one died from cancer and another one died after an off-road vehicle accident, as their obituaries clearly stated. JetBlue told Lead Stories "there is no connection in their deaths or to the COVID-19 vaccine."

As is stated in the video itself, the deaths were not recent nor did they occur in a close time span -- they happened from February to May 2021.

Although a speaker in the video says there is "no direct information yet about their jab status," the implication in the headline and text with the video is that the deaths were connected to vaccinations.

No evidence is given to support that implication, and JetBlue said the video "appears designed to intentionally deceive the public and should not be considered a trusted source of information."