The needs of travelers in the early 1900s was much different than today. People weren't driving their cars daily, towns were smaller and electricity wasn't as ubiquitous. Electric cars were preferred since they were quieter, cleaner and easier to drive. Another issue was that petrol came in tins purchased at the chemist rather than pumps. The chemist frequently could be out of stock and not know when the next shipment would come in.
A visit to a forecourt for a petrol/diesel can take 15 minutes if there is a queue. If you want a vehicle that will charge from flat to 95% in 15 minutes (80% would be a better target), you have to be prepared to hoist a large cable with a massive connector to handle the currents involved. That's rarely needed, though. The vast majority of people are NOT driving further than 250 miles in one go and since it's possible to easily charge an EV each night and have a full charge each morning, it's far different in having greater range in a petrol car to reduce the number of trips to the gas station. Your comment about having to visit a "designated recharge location" is silly. You've just described a petrol station. If you are in Europe or the UK, Shell is installing rapid chargers in their forecourts, so there you go.
The battle of the plugs is between Tesla, which have gone with their own proprietary charging scheme and the two other standards that everybody else uses, ChaDeMo and CCS(?). The latter two are commonly available at all DC fast charger locations and Tesla is having to install their own network since they chose not to go with an industry standard. A Tesla can use ChaDeMo with an adapter, purchased separately. This is no different than choosing between petrol and diesel to match what your car needs. Unless you buy a Tesla and then need to visit a Tesla station. Tesla likes it that way. They could have been making loads of money on charging if they didn't go with their own scheme. Beta vs. VHS.
For many long trips, a long range EV can work just fine. At the distances where charging times are adding a significant amount of time, you will have probably wanted to fly anyway. If you have other people with you, especially children, you are going to be stopping more frequently than you NEED to recharge anyway, so plugging in at those short stops is worthwhile with a longer stop for meals where a bulk of recharging can be done. I drove half way across the US for the 2017 total eclipse and kept track of my stops and mileage (ICEV). I would have added about 1.5-2 hours each way with an EV, but I would have shaved 75% of the fuel cost from the trip. Sadly, while taking the train was only twice as long, it was twice as expensive too.