Hi and Welcome Qtronic! There are a potential number of reasons why these LE14A's look different and I'll try to cover them.
The original LE14A usually had a white front color on the cone because the original black cone was covered in a white coating called Aquaplas. It had the properties of stiffening the cone as well as adding damping and mass. Some LE14A cones were white both back and front. The surround usually was a white-turned yellow with age foam like material called Lansaloy. These surrounds were flexible and great when new, however, they aged rapidly turning yellow and quite stiff. When stiff they didn't allow movement for bass notes and severely affected the overall speakers sound. After stiffening, if driven hard, they were then prone to crack and breakdown.
Some later production LE14A-LE14H (ceramic magnet) drivers had black cones with black Aquaplas material added to the back of the cones. All JBL cones had a 5 digit part number printed on the backs of the cones. Originals usually had no other writing. If the speaker was reconed by a typical JBL service center during the 80's - early 2000's, the tech usually wrote the date plus driver or cone model on the back of the cone in grease pencil to document the work. OEM JBL recone kits also had the 5 digit cone part number printed on it and already had the foam surround glued onto the backside of the outer cone edge. NO OEM JBL cones ever came with a shiny (and likely soft or slightly stick cone coating as seen on your examples.
The most common issue with older JBL LE14A's is if the cone or surround was damaged, reconing was recommended. IF these were later LE14H cones, you should be able to find the 5 digit part number plus some tech written evidence of the recone date. If cost was an issue, the owner may instead have opted for aftermarket recone kits which superficially appear similar - however, in the past, the aftermarket kits varied widely in performance compared to OEM JBL kits. Some aftermarket kits didn't have an Aquaplas coating on either side, or had some other type of mass or damping material. It is not clear if any aftermarket recone kit can duplicate even closely the total technical Thiele-Small parameters of the OEM JBL kits once installed. AFAIK, no aftermarket kits had any shiny coatings on them normally so IMO, the coatings front and back were from a zealous owner or tech wanting to "improve" their woofers with a damping coating or so-called "wet look" coating (used to come clear or black). An alternative coating could also have been improvised from water diluted white glue or Mod-Podge (similar PVA material) applied thinly to the cones. However, most of these materials can and many times will add significant mass which again will alter the driver performance parameters.
My best guess is, without other photographic evidence, that these have been aftermarket reconed and then had an aftermarket cone coating applied at some point. They may sound decent, but they may not be original sounding. If budget is tight, then I'd say strip off all remnants of the old surround from cone and frame, then purchase new correct LE14 surrounds from Rick Cobb and refoam to back of cone using his tone CD for centering. You may get a fairly decent sounding speaker with a minimum of cash outlay. If you're a stickler for detail, the next level would be to have new and much closer aftermarket recone kits installed by a good and known JBL tech center or service center like Speaker Repair Pros in Garden Grove, CA. Finally, to get fully OEM JBL sound, you could then source either a couple of newly refoamed used LE14A's or seek out a hard to find pair of LE14 OEM JBL recone kits (which may now cost more than the used driver pair) and have those installed.
However, know that the S99 is a nice sounding speaker but not nearly the best sounding in JBL's history - these were designed and marketed in the early 60's with a fairly rudimentary crossover and tweeter design. Up to you to decide where you want to go with what you have. The S99 is a very good candidate for an E-Wave conversion, see AudioKarma E-wave thread.