That term has a very specific meaning:
https://en.wikipedia.org/wiki/Transimpedance_amplifier
I think you are describing a more common impedance matching network.
Interesting. For years in the company I worked for over 30 years we used the term trans-impedance amplifier for any amplifier that was designed to match a higher (or lower) source impedance to some other impedance...with the most common being high to low version. It applied to photomultipliers like in the wiki you linked, but the term also applied to amplifiers like I described. It could be the term has changed meaning over time.
Terms do change. For instance in the 1960s Tektronix referred to differential circuits as push-pull which leads to some confusion now if reading a circuit description without a schematic. Modern confusion with the terms difference amplifier, differential amplifier, and instrumentation amplifier all sometimes referring to the same thing (in my opinion incorrectly thanks to Texas Instruments) so this is hardly new.
I have only heard the term transimpedance applied to this function mistakenly for the reason others identify; a transimpedance amplifier is a current to voltage converter. The oldest oscilloscope documentation I regularly use from the 1960s just calls these circuits cathode or source followers which is not very descriptive of the actual function. Tektronix started using the term buffer amplifier in the 1980s but this is still not very descriptive.
Steve Roach who worked for HP in the 1990s on oscilloscope front ends and wrote a chapter in Jim Williams' "The Art and Science of Analog Circuit Design" about signal conditioning in oscilloscopes (1) called this function an impedance converter but to me that implies a passive device so I tend to use the term impedance buffer. Of the terms you could use though, transimpedance amplifier is just going to lead to confusion.
(1) You might want to look this up for some ideas. Also consider the design of the Tektronix P6202A active probe which provides for a gain of 2 to drive a double terminated transmission line. I would keep the discrete impedance buffer but replace the transconductance amplifier with a gain of 2 current feedback operational amplifier for simplicity.