I had the pulsatile tinnitus but not the ringing in the ears.
The swooshing was in time with my heart beat.
What worries me was when I googled pulsatile tinnitus and read a rather disturbing cause.
Mine has fully gone away - after treatment.
It was during/after Bartonella treatment - prob about 2 years of treatment.
what did you use to treat your bartonella?