Lithium batteries are better. The volume specific energy and weight specific energy of lithium battery are more than 3 times higher than that of lead-acid battery. Lithium batteries are smaller and lighter. Long cycle life.
Whether you run far depends on the battery capacity. It is meaningless to say who is far away alone.
For example, they are all 48v20ah. The lithium battery is basically the same as the lead-acid battery, because the capacity is the same, but the lithium battery is lighter, so it is slightly farther than the lead-acid battery.
However, if the lithium battery is 48v10ah and the lead-acid battery is 48v20ah, the lead-acid battery must be far away, needless to say. To put it simply, whoever has a large capacity can run far. The advantage of lithium battery over lead-acid battery is that it is lighter and can discharge with a large current. Everything else is the same.