A particle interpretation of QFT answers most intuitively what happens in particle scattering experiments and why we seem to detect particle trajectories. Moreover, it would explain most naturally why particle talk appears almost unavoidable. [My italics: the answer to your question.]
The reference discusses that the particle interpretation has serious problems indeed, and that the field interpretation also has problems!
The occurrence of unitarily inequivalent representations (UIRs), which first seemed to cause problems specifically for the particle interpretation but which appears to carry over to the field interpretation, may well be a severe obstacle for any ontological interpretation of QFT.
Two other ontologies are mentioned as possible candidates: Ontic Structural Realism (OSR) and Dispositional Trope Ontology (DTO).
In conclusion one has to recall that one reason why the ontological interpretation of QFT is so difficult is the fact that it is exceptionally unclear which parts of the formalism should be taken to represent anything physical in the first place. And it looks as if that problem will persist for quite some time.
I hope that this answer is at least useful in suggesting that the field interpretation isn't a "done deal", as suggested by the question. This answer merely suggests that particle talk may be just as good as field talk (namely: they could very well both be "wrong" for QFT, and, apparently, for similar reasons, ontologically).