I regularly keep myself updated as to new recordings of the suites, and the newest I have heard was made by Valentin Erben (born 1945), the cellist of the legendaric Alban Berg Qt.
All the suites are recorded on a standard cello with modern setup. His intonation is impeccable, his tone is mellow and sweet, and he restricts the dynamics to range between pp and f. He uses an almost continual but relatively tight, narrow vibrato (to quote DizzyD's description of Starkers vibrato) but generally his vibrato is less dominant than Starkers. Unfortunately I don't have a grade in modern history, so I am not qualified to judge whether he uses too much or too little vibrato. Erben's playing is more expressive than Starkers, his tempi often a bit slower and the notes more individually inflected. I would characterize the interpretation as intimate and introvert. It's one of the most rewarding interpretations with modern setup I have heard, and I have heard many. Eagerly recommended.
Erbens son, Sebastian Erben, plays between the suites some of Bach's shorter organ chorales on an uninteresting modern generic sounding organ. His playing is solid but unremarcable. The chorales have no real function in this context and may be skipped.
https://www.jpc.de/jpcng/classic/detail/-/art/die-cellosuiten-orgelchoraele/hnum/10873367