A single ballot box served Boyuncuk at the 2023 parliamentary election, with 199 registered voters; that places it 107th among the 145 localities of Muş.
149 people voted at that election. Yeşil Sol Parti took the most votes with 116; AK Parti followed with 13. Yeşil Sol Parti's share here is 40.2 points above the district average. In the presidential runoff, 108 of 132 valid votes went to Kemal Kılıçdaroğlu — 35.5 points above the district average. At the 2017 referendum 135 of 204 valid votes were 'no' — 30.8 points above the district average.
The electorate shrank from 266 registered voters in 2011 to 199 in 2023 — a change of about 25 percent. The tightest race came at the 2011 parliamentary election: AK Parti took 128 votes to independents's 118 — a margin of just 10 votes. Turnout at the 2024 local election was 63.0%, 8.5 points below the district average. The neighborhood has stayed on the same line since 2014: the same political line has finished first in all of the last 7 elections (BDP in 2014, Yeşil Sol Parti in 2015, HDP in 2019, DEM Parti in 2024).