I don't think you will be able to get that light look consistently with red and white oak. You probably need to go with a medium neutral stain on all floors, one that has green tones in it. Green is the complement to red/pink, and mixing complementary colors neutralizes them. I've had success with Special Walnut stain throughout my home. The floors in the original (1920s) part of the home are oak, not sure if red or white. The new white oak floors in the kitchen were installed in 2014; all are stained special walnut. Here is a photo of the transition area between dining room (above the saddle) and kitchen (below the saddle). The color is not too dark and not too light. Depending on the light it can look warmer or cooler. It's my "go-to" color for me and my clients for many years.

Why the stain at all just a nice matte finish is IMO a much better choice honestly why choose a wood then stain it to look like something else.

These finishes are all aged look finishes. You will need to use a reactive stain and hard wax oils. Some hard wax oils can be coated with a water base polyurethane for added protection. This look is pricey. Start looking at Ciranova products. A cheaper alternative is Bona Nordicseal but, this system does not really give you a aged look. Mainly white washed. . Nordicseal will hide the grain of the wood like a typical stain.

It's odd to have a milling issue twice on one order. I can probably count the milling issues I've seen from 1985 to present using the fingers on one hand. I can't determine much from your picture but the color does remind me of products I've seen where the wood was treated chemically to achieve a unique appearance that's not achievable with a regular staining process. I'd love to see a bigger picture. In the US we have lumber grades and some milled flooring species have grading rules set by manufacturer's associations, Finished products generally require referring to the maker since they're not governed by the associations. In unfinished Oak you have Clear, Select, #1, #2 and #3. In prefinished items you'll often see just a select grade and maybe a rustic grade. Sounds like you're describing the difference between unfinished Clear and Select. Manufacturers don't sort for color, but they might cull out boards with sapwood in the Clear grade, leading to a more uniform coloration. Don't know what you paid but I'm buying some 6" wide 2' to 10' unfinished engineered White Oak and it's over $8/sq.ft. Recently a contractor requested a bid to install wood being purchased by the homeowner and the product was around $20/ft. for Rustic and $25/ft. for Select. Prices are kind of crazy out there.