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It does appear to be an infection. It will be difficult to say just from these photos, alone, but taking them to your local extension service will help. They can put it under the microscope and stain it to identify it. This will give you the best treatment customization, but many times a broad fungicide will help. Here are some articles that will help you:

https://www.gardeningknowhow.com/extension-search

https://www.gardeningknowhow.com/garden-how-to/info/what-is-copper-fungicide.htm

It is not invasive in all parts of the world. To be fair to gardeners from all over, we must include information for many species. Any plant has the potential to become invasive in the wrong place.

To answer your question simply: We must be fair to all gardeners seeking information, and it is the responsibility of each individual to ensure that what you plant is not destructive in the area.

We, also, have articles to deal with it, should it become invasive in your area:

https://www.gardeningknowhow.com/ornamental/shrubs/ligustrum/getting-rid-of-chinese-privet.htm

If you have treated the area, and it is still not responding, then likely you will need to plant a species that is unrelated to the shrub. There are many illnesses that, once established, will never go away. Sometimes the only thing to do is plant something that is not susceptible to the disease.

Alternatively, if this was only 1 treatment, then this is likely the reason. Fungicides require constant treatment, according to the label, until the disease has been eradicated.

Another thing to consider will be how moist the soil stays in the area. Ligustrum would rather be positioned in a dry area than a wet one. If the soil stays wet, then you might consider something different in the area.

here are some articles that will help:

https://www.gardeningknowhow.com/garden-how-to/info/using-fungicides-in-garden.htm

https://www.gardeningknowhow.com/ornamental/shrubs/ligustrum

https://www.gardeningknowhow.com/ornamental/trees/tgen/wet-soil-trees.htm

Unfortunately, your photos did not come through. I am unable to see the damage.

They can come back from considerable stress, so maintaining proper care can help them to return.

These articles will help:

https://www.gardeningknowhow.com/ornamental/shrubs/ligustrum

It has deviated from the traditional yellow, but I suspect it is from drying winter winds or from winter sun scorch. I looked up your weather averages and it doesn't look like it gets very cold. Till spring rains arrive, water your shrubs at least once a month or before any extreme weather.

It does grow in your zone 8a so the shrub should be able to withstand your climatic variations. You can check to see if it is still alive by snapping off the end of twig. If it is supple and green inside, it is still alive. You can also scratch off some bark on a larger branch to look for green.

Planting right in the lawn subjects it to competition for water and nutrients, so in the spring, you might consider removing the grass right under it and replacing it with mulch. Wait till spring for further evaluation. Mine looked like yours last winter, but in the spring, it dropped the leaves and new leaves emerged.

Here is more information.

https://www.gardeningknowhow.com/ornamental/shrubs/ligustrum/growing-ligustrum-shrubs.htm

https://www.gardeningknowhow.com/plant-problems/environmental/winter-burn-in-evergreens.htm

https://www.gardeningknowhow.com/plant-problems/environmental/why-cold-affects-plants.htm

It could be bacterial or fungal leaf spots. You wouldn't want to remove that many leaves because it will disrupt the photosynthesis. A privet hedge can be cut back for rejuvenation, though. Since this is a large-scale problem, I suggest taking a sample to your local extension office for correct determination of the disease so you can learn the best treatment.
https://www.gardeningknowhow.com/ornamental/shrubs/ligustrum/pruning-privet-hedges.htm
https://www.gardeningknowhow.com/extension-search
https://www.gardeningknowhow.com/plant-problems/disease/plant-leaf-spots.htm
https://www.gardeningknowhow.com/plant-problems/disease/bacterial-leaf-spot.htm