I've never used the Jazz Flats/Rounds on an acoustic bass, only electric, so I can't really make a comparison about their acoustic qualities
The Thomastik Acoustic Bass strings have very little string noise though. They have none of the squeak or clank you get from the stock D'Addarios.
You will definitely not sacrifice any tone from the low tension. In fact, I suspect the low tension is what provides the full, warm lows. The strings vibrate with a wider amplitude than any of the stiffer "normal" phosphor bronze ABG strings I've tried.
The Thomastiks are completely different to ANY other phosphor bronze strings both in tone, feel and construction. They have a much fuller, warmer, and more organic tone. They are very mellow yet defined. Not muddy or boomy at all. Very nicely balanced. Much more responsive than the stiffer D'Addarios. Apart from the complete lack of any zing/clank (which to me is a good thing) the TIs will also provide a much fuller volume in my experience.
If you like the TI flats/rounds I think you will probably love the TI Acoustic Bass strings. They definitely have that "orchestral" TI vibe. Getting rid of the D'Addarios and installing TIs was the best thing I ever did for my Guild. The TIs made it sound and feel like a far more expensive instrument.
Of course, if you happen to like the more metallic D'Addario tone you should probably avoid the TIs. There are no zingy highs here.