In most swayamvaras, the wishes of princesses were honored. The one in Kashi that Bheeshma defiled, or the ones that were disrupted and the princesses abducted by Karna (for Duryodhan) or Samba (for himself) were the exceptions, not the norms.
The swayamvaras of Sita, Draupadi and Lakshmanaa (Krishna's wife, not Samba's) were contests, but otherwise, princesses were usually given a swayamvara where they had a free right to choose anyone. This serial had badly misrepresented what princesses were allowed to do. There was no requirement that there be a contest @ any swayamvara - that was optional, not mandatory. This is how Kunti's swayamvara went, where she freely chose Pandu (there were no tests, contrary to what this serial showed). In some cases, kings could choose to skip the swayamvara completely and simply offer their daughters to friendly princes or kings, like Shalya did to Bheeshma or Virata did to Arjun.
Normally, most decent princes/kings did not visit swayamvaras they were not invited to. Bheeshma, Duryodhan/Karna & Samba were uncouth exceptions.