No, don't think so. Lets say both aircraft went around because of lost comms. The cause of the lost comms was ATC's doughnut maker exploded and their radio got fried. The aircraft that just lined up and was waiting to take off now just sits there. The first aircraft says "god dammit, can't land cos of plane on the runway and goes around". Second aircraft does the same - this is the reason that if he chooses to go missed from above the 1250 feet he should still continue down ton the 1250.
The 1250 is a definite condition. That's why it's on the immediate actions strip that everyone reads carefully three quarters of the way down the page. Then you do the missed approach instructions in order. 1250 feet. Then turn left. You must not turn left before 5D. Then climb.
It doesn't say "do all these things in any order you want"
Anyway, could be wrong, wa watching the ladies tennis and was a bit distracted.