Well, words do mean things and the word "jaunt" specifically means "a short excursion or journey for pleasure", so yes, when you start talking about trying to get to Texarkana from McKinney by going through Shreveport, or even Lindale, you are no longer talking about short or pleasurable, so I stand by my initial statement, once you start talking about adding 50+ miles to the trip, the concept of "jaunt" has been thrown out the window. If you absolutely have to be in Texarkana, then yes, those are viable & necessary options, if you are thinking about a pleasure trip on a whim, then not so much.
When driving my Model S.
DFW to Austin and back in a day would be a jaunt.
DFW to San Antonio and back in a day would be a jaunt.
DFW to Houston and back in a day would be a jaunt.
DFW to Texarkana and back in a day would be jaunt.
DFW to Shreveport and back in a day would be a jaunt.
DFW to OKC and back in a day would be a jaunt.
Anything (to me) that I can do RT in a day is a "jaunt".
The addition of 50 miles or so is inconsequential, as long as I have viable access to a Supercharger, and can accomplish it in a standard day.
DFW to Atlanta would be a trip, not a jaunt.
DFW to Denver would be a trip, not a jaunt.
DFW to St. Louis would be a trip, not a jaunt.
DFW to Albuquerque or Santa Fe would be a trip, not a jaunt.
DFW to Memphis (when they get a finally Supercharger) would still be a trip.
Anything (to me) that would require at least some duration of rest or an overnight stay is a trip.