Think outside the box. Get a previous generation. Pixel 8 was about to be released. To move inventory, Google discounted the 7 series by like 30-40%. I got the 256GB 7 Pro for $600. Without the sale, $600 is the same price as the 128GB 7. I got a top of the range flagship phone for the cost of a midrange. My mom did something similar with a Samsung phone. She got an S20 when the S22 released. Huge discount when Verizon offered it for $449.
By being ripped out and sandboxed the same way other apps are, Google services isn’t free to siphon battery. This means you can restrict battery use and cut the constant communication down. Thus saving battery. If you allow it, yes it is not different than if it was preloaded.