The effect of this hypothetical discovery (because I haven't seen the dating of the rocks yet) is almost non-existent. It just reinforces an idea already present in the origins of Life community for a lot of time-you discover life as soon as you discover solid rocks capable of creating fossils, so Life must have originated immediately after the cooling of the Earth's surface or possibly it simply originated elsewhere in the Solar system and was transported here by meteorites (there is solid evidence for this hypothesis in the ability of bacteria to survive extreme environments). What is important however is the reinforcing of the idea there is some "missing link" in the history of the transition of chemistry to biology which is definitely not in the fossil record!
The fact we can't discover some intermediary complex molecules between the primeval Earth and the bacteria means for most of the scientists that either Life simply "hitched a ride" on some comet or meteorite to come here from some other place in the Solar system it originated (possibly Mars) which in turn would imply that the entire Solar system gave rise to a single "type" of Life and therefore even if we find Life outside Earth it will probably be based on DNA and the central dogma and be too much like our own or that the emergence of Life was so fast it simply can not be by chance! I think the implications of the second case are greater but the first one can make a lot of "noise", too I guess (especially if they find bacteria on Mars and they turn out to be just like those here). I myself, however, am a little bit of an "heretic" here and believe the continuous occurrence of the same fossils everywhere in the ancient geological record (and in meteorites from Mars, too) may indicate a little bit different view of what Life can be defined as. What we are looking here are not evidence of cells, but rather evidence of metabolic products which we (not they by themselves) contribute to cells! Because modern cells can produce such products we assume they are produced by cells! But we don't have cells we can look at under the microscope in those rocks. We have thin bands of material we think comes from cells (it is the same with the Martian meteorites-science in a way becomes a "point of view" which you should consider isn't very "scientific"). But what if these bands were the result of metabolism, but is was not cellular! I myself think this is entirely possible, but most of my colleagues do not even consider this idea. This can easily explain the rise of products of metabolism early on but at the same time give enough time for the complexity of the modern cells to form under the influence of great competition among metabolic pathways themselves, rather than living cells-for which we seem to have direct evidence at a much later period. This hypothesis can also explain why are all the basic metabolic pathways in Life today so conservative (unlike the genes themselves which determine them-what is really more conservative-the gene or its role?) while the proteins coding for them can be coded under different genomic organization-e.g. different structure of the genome in different domains. The place of the gene can change, even to a certain extent its sequence, but what remains the same is their relationship to each other, e.g. their topology to respect of each other in the general graph of metabolism. Why? What if metabolism was more ancient than cells, but the evidence of this "metabolism evolution" was lost in the age before the cell(because there were no cells, no structures, no anything to leave fossils of the metabolism evolution, excepts its waste products (in a way its "coprolites"). I would like to think this evidence supports such hypothesis but again it is just an opinion.
I hope you like this answer.