Which degree would be likely to have more value?

[Maniac Craniac]

On general vs specific degrees - I would say it depends on your purpose. For example, if your goal requires you to have a Master's degree, it won't matter what your undergrad major was.

That assumes that you will get a master's degree right after your bachelor's degree, and that you won't be using the bachelor's degree to find a job until your master is finished.

For most people, it's better to get that focused degree first, even if you THINK you'll get a master's at some point - because that degree can be used immediately to get a job.

For those who just need ANY degree to check a box, then yes, a general degree is fine.  But for the rest, better to focus a bit if that fits your plans.

Sounds like we both agree that one size does not fit all.