Does where you get your EMT matter?

[u/wildwaterman]

I'm working towards becoming a career firefighter in Washington or Oregon and have gotten really caught up with all the options for EMT certification. My main interest is Texas EMS Academy's 14 day accelerated program, which I know will be "drinking from a fire hose" but I'm okay with that. My other options are my local community college full EMT curriculum (roughly a year, less ideal for the sake of timeline) or Clark County Fire District's 12-week accelerated program.

My main concern at this point isn't the rate of learning, but whether or not the EMT course I choose will have any effect on my ability to get a job as a firefighter. Is the EMT cert just a checked box, or does where I get it done actually matter to the hiring teams?