Hi there!
Actually, many people prefer NOT to tether newborns' seats, even when they can, because of the potential for added neck loads to their weak necks. We don't have a lot of data on it, but it's a strong enough potential that many people take it into account when decision-making. (Personally, I have tethered a Radian from birth and would probably do so again, but that's my personal decision.)
A few alternatives are available which can help prevent an infant bucket seat "rebounding" toward the back of the car so much. One is an anti-rebound bar, which may be on the base of the car seat, or the car seat itself. The Britax Chaperone and Combi Shuttle 33 (soon Shuttle 35) both have this feature, the former on the base, the latter on the seat itself. (The True Fit Premiere also has this feature, and is a convertible seat that fits many infants well from birth.)
Another alternative is to leave the handle in the "carry" or fully upright position, or in a few cases, in a forward (by the feet), anti-rebound position, when allowed by the seat. This last position (the forward position designed to be like an anti-rebound bar) is a feature often utilized in Europe and beginning to make its way across the ocean. Only a few brands are left now that do NOT allow the handle to be in an upright position while in the car. Canada recently revised their testing standard to incorporate an anti-rebound standard, and some of the seats that meet the new standard so far do so by instructing that the handle be left up instead of allowing it down in the car, while others are incorporating that forward, anti-rebound position.