OP did state
'also field the armor and spend the years since working to perfect the armor with tech appropriate to each era.' so for WWI,that's Manganese Steel, and Silk and Rayon in urea-formaldehyde or sewn.
Rayon is a bit weaker than Nylon, around 20%, and close to silk, depending on the method of manufacture
All these were present before WWI.
Had Gavrilo Princip aimed two inches lower, Franz Ferdinand would have lived, the fatal bullet in the silk bulletproof liner he was wearing.
The silk armor OTL was made for the Rich and Royal, after the wave of assassinations of the 1890s.
So what would these early vest be like in WWI
Not too different from the first vests used in Korea, that used Nylon.
In the summer of 1952, the Far East Command requested immediate supply of the latest Army type vest for issue to combat troops. Although field testing of this model had been completed, the vest had never been mass-produced. For this reason, vest of this type could not be furnished immediately and the Far East Command indicated that, although the Army armored vest was preferred, the Marine Corps’ Doron vest was acceptable to fill immediate requirements. Therefore, 31,017 of the M-1951 Marine Corps vests were procured and shipped to the Far East Command. Five thousand Army-type vests also were ordered at this time for shipment to the Far East Command.
Delivery to the Far East Command of an additional 20,000 of the Army vests was scheduled for the period of January through May, 1953. Cost of these 20,000 of the Army vests, including price of materials furnished the contractor by the Quartermaster Corps, was $39.04 each.
The Army armored vest, now called the M-1952, provided to troops in Korea, weighed approximately 8 pounds, and was made of 12 layers of flexible, spot-laminated Nylon-duck, enclosed in a heat-sealed water-repellent vinyl envelope. The T-52-2 Model (the 5,000 shipped to Korea late in 1952) was designed to be worn as an outside garment with an outer cover of 6 ounce, nylon fabric. It had adjustable side straps to assure a snug fit.
The M-1952A or T-52-3 Model (the 20,000 ordered for shipment to Korea early in 1953, now called M-1952A) was designed to be worn over the shirt but under a field jacket and is covered with light-weight 6 ounce nylon. Elastic side-laces insured a snug fit. Both models were fastened in the front with a zipper, plus a fly closure utilizing snaps. Both models were made in three sizes—small, medium, and large. The Army vest (T-52-3) had an area of approximately six square feet; the earlier model (T-52-2), 5.5 square feet.
Reports received by the Office of the Surgeon General of the Army on the combat testing of the new Army nylon vest showed that the armor deflected approximately 65 per cent of all types of missiles, 75 per cent of all fragments, and 25 per cent of all small-arms fire. The reports also stated that the armor reduced torso wounds by 60 to 70 per cent, while those inflicted in spite of the armor’s protection were reduced in severity by 25 to 35 per cent.
Now these weren't bulletproof, but were lightweight vs the current US model, the Improved Outer Tactical Vest, around 30 pounds with the heavy plate inserts that provides a lot better protection
Downsides?
expense, and they do trap heat, the biggest initial complaint in Korea in the summer.
But as hot as Korea is, Iraq is even worse. So troops can do it.
back to WWI, many of the same issues, with the addition that rayon or silk vests will degrade if not dried out properly