Unless you're racking up huge monthly charges, it doesn't much matter since you'll never generate enough points to matter.
It also depends on what kind of spend you'll be doing...
The new job is going to be about 100% travel, so I'm going to be doing at least 8 flights (4 out and 4 in) a month, and 12-20 hotel days a month. Are you saying points are so irrelevant that nothing I do with that kind of travel will matter?
And that doesn't even account for the per diem spending while onsite.