If I understand correctly what you are suggesting, Ninja, I've done it for years... in three different houses.
I started with my original installation because it was the first house in which I had easy, underfloor access to my kitchen plumbing by way of a full standup basement.
I bolted my (then it was a two-stage) filter assembly to a floor joist located between the kitchen sink and the refrigerator and adjacent to the half-inch copper cold water supply line.
I cut the supply line and soldered in a T fitting (more recently I've used a Sharkbite push-on). On that T I made sure to include an inline shut-off with an outlet properly sized for the (usually) smaller and bendable line that runs to the filter assembly. Coming out of the filters I installed another T and sent separate lines to the fridge and to the filtered water outlet at the kitchen sink. At first I was worried that the smaller lines downstream of the filter would reduce water flow even more than it already did when the filter served only the sink. But over time it became clear that the sink and the fridge were rarely calling for filtered water at the same time, and in fact we had control over that simultaneous demand by simply not drawing water through the fridge door at the same time we were filling the tea kettle at the sink. I guess there were times when the ice-maker demanded water at the same time the sink outlet was turned on, but in ten years I never noticed the conflict.
In one of our houses we had no basement access--just a crawlspace, and I did the manifold hookup in the cabinet under the sink. I do not recommend this arrangement; it's simply too cramped and crowded.
But in every installation, the results were excellent, and for years we bought far fewer filters, and we had to buy only one size and description to serve both outlets.
In our last house I switched over to the Aqua-Sana three-stage system, and subscribed to automatic filter deliveries. It was a significant upgrade... but it did cost a tad more.
Good luck with your project.