I think the most likely answer is: "
Maybe They don't know what they are doing?"
Even though your post is missing some critical basic HPLC information (see below), we would probably not recommend injecting such a solution into an HPLC system. TFA is a very strong and corrosive acid. Even 0.1% (commonly in use to provide ~ pH of 2.1) is often too strong a concentration for some applications.
Questions Asked/Answers Needed:, Two very important basic questions, (1) what is the injection
volume; (2) what are the
column dimensions (so we can calculate the column void volume). Depending on the injection volume and acid concentration (100x normal in this case!), if the injection volume is incredibly low relative to the column volume than the solution may be diluted sufficiently to not pose a threat to the Stainless steel and plastic parts of the HPLC flow path (and yes, the column support too). If the injection solution is quickly diluted in the flow path, it may not pose an issue, but we must consider both the concentration AND the chemical/physical properties of the solution too. While it may be possible to dilute the solution enough, the corrosive nature of the "slug" coming in contact with the parts in the flow path may result in damage.
In this case, the injection volume used would need to be
extremely low (~ less than 0.1% of column volume, maybe less than 0.01%) to dilute it to a safe level,
BUT using such a strong solution AND loading it into the injector flow path would likely result in damage to the system before the slug reached the column head (per manufacturer's spec, would probably damage the injector before it was fully diluted. The pH of the solution should not be below 2.5 or ~ 2. The extremely corrosive solution of 10% TFA would be expected to have a pH of ~ 0.45 !!! ).