As a random player myself who refuses to choose a race despite increasing competitions on ladder, I get annoyed when my opponents on ladder ask me what is my race because by being a random player,the early game advantage is what we were fighting for.
In my opinion,I think random players are weak in mirror matchups and are equally as strong when they are playing imbalanced matchups because we random players understand the strengths and weaknesses of each race as we play all races equally. Despite that, my favourite is still Protoss.
Edit : The wonderful part about playing random ...just to give some examples.
If I encounter a Protoss opponent, I will be very sure that he will never FFE.
If I encounter a Terran opponent, I will be very sure that he will never do any 2 rax cheeses before scouting me and he will always open rax into refinery.
If I encounter a Zerg opponent, I will be quite sure that he will open speedling expand.
Sorry for derailing, but..
HARROW MILL I THOUGHT U GOT KIDNAPPED BY ALIENS
Back to the topic, most of the discussion has been revolving around ladder play. Another aspect will be on tournament play, using random or race picking are sometimes disallowed depending on the tournament.
I'm not familiar with major tournaments rules on this, the only random player I know in the GSL is
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