Just for reference, the average taxi is driven 70000 mi/yr. Nearly 40% of that is spent cruising for fares to pick up. Since Uber and Lyft are on demand services, they probably drive about 40000 mi/yr if they are full time drivers. Most cab rides are less than 12 mi. If the cab is not leased to the driver, it is likely "hot seated" meaning that two or more drivers alternate shifts and the cab is driven nearly continuously. In that case a cab could rack up 150000-200000 mi/yr.
In Europe, cab rides are usually shorter still owing to compactness of European cities. Putting 100000 mi. on a Leaf cab in a couple of years would be easy even there. All the cabs I've heard about with 100000 mi. or more were from England or Ireland which have ideal weather for the Leaf. Add in the short time frame required to get to 100000 mi and the likelihood of frequent charging to top off the battery and it's not surprising to see Leaf taxis with all their bars intact.
2016 SV, New battery at 45K mi.
San Diego East County