"Most balked" refers to something that has encountered the most resistance or reluctance. The antonyms for this phrase can be words like "accepted," "embraced," "welcomed," "eased," and "facilitated." Unlike "most balked," these words express a sense of willingness, ease, and agreement. For example, a proposal that is accepted by all parties means that there was no resistance or reluctance towards it. Similarly, when we refer to an idea that is welcomed, we imply that it was received with open arms. In conclusion, the antonyms for "most balked" offer a positive perspective and suggestion of ease and agreement, while still conveying the same idea but with a different tone.