This paper investigates the integration of force feedback in Digital Musical Instruments (DMI), specifically evaluating the reproduction of intricate vibrato techniques using haptic feedback controllers. We introduce our system for vibrato modulation using force feedback, composed of Bend-aid (a web-based sequencer platform using pre-designed haptic feedback models) and TorqueTuner (an open-source 1 Degree-of-Freedom (DoF) rotary haptic device for generating programmable haptic effects). We designed a formal user study to assess the impact of each haptic mode on user experience in a vibrato mimicry task. Twenty musically trained participants rated their user experience for the three haptic modes (Smooth, Detent, and Spring) using four Likert-scale scores: comfort, flexibility, ease of control, and helpfulness for the task. Finally, we asked participants to share their reflections. Our research indicates that while the Spring mode can help with light vibrato, preferences for haptic modes vary based on musical training background. This emphasizes the need for adaptable task interfaces and flexible haptic feedback in DMI design.