The Y-wing player could have forced the engagement, but would have been at a disadvantage for doing so. The A-wing player could have forced the engagement, but would have been at a disadvantage for doing so. Both players were "stalling" equally - refusing to engage unless they had the advantage.
NEITHER player had a plan to win by killing the opponent. The A-wing player was up against the time limit, and the Y-wing player was up against his opponent not being a total moron who'd yell LEROOOOY JENKIIIIIINS! and charge into certain doom. Neither had a viable plan for winning the game by destroying the other's ships.
Both had choices. Neither was willing to hand the game to their opponent by making a dumb move.
Here's a simple question: If he wanted to, could the Y-wing player have engaged his opponent by spreading out his Y-wings for greater coverage? I'm almost certain I could have. But he chose not to. BOTH players made choices that produced the stalemate. But only one got whiny about it, and only one is drawing a level of completely unfounded insult from you.