Sounds to me like you're parroting something that you were told by competitors of "string suspended" (actually a misnomer since neither use string) tonearms. They're hardly unbiased. Did you raise these questions with Bill Firebaugh of Well Tempered or Frank Schröder? Your last sentence seems to nullify your entire argument since both of the "string suspended" designs on the market incorporate damping. As far as I know there aren't any "string suspended" arms that don't.
String suspension vs. uni pivot or gimball tonearm
I think that string suspension tonearm allows the whole arm to oscillate back and forth to follow the music passage on the record which results the relaxed/natural sound characterisctics. Even the movements only in fractions of a millimeter, it's still back and forth movements. Pivot supported tonearms do not allow the back and forth movements hence more accurate/restricted musical reproduction.
When the string supported tonearm moves forward to comply with the heavy music passage, the stylus remains on that section of the groove a fractional of a second longer than a pivot tonearm would. This time delay creates longer sustainment of the music note. The string supported tonearms also provide more freedom for the arm to track the groove which results more natural music. Some string suspended arm employs damping materials to create more accurate sense musical image.
When the string supported tonearm moves forward to comply with the heavy music passage, the stylus remains on that section of the groove a fractional of a second longer than a pivot tonearm would. This time delay creates longer sustainment of the music note. The string supported tonearms also provide more freedom for the arm to track the groove which results more natural music. Some string suspended arm employs damping materials to create more accurate sense musical image.