Not only no for the reasons listed above, but also, the SPR is low-quality crude, and therefore more expensive to refine.
The SPR maintains a ratio of sweet/sour, light/heavy that matches our refining ratios. It has been adjusted in the past as we imported more and more sour/heavy (cheap) oil following many refinery upgrades. We don't need to replace the Texas and North Dakota light sweets; they won't be shutting down for an OPEC embargo.