I think that it's more the cold than the lack of sun causing your delay. tomatoes love heat.
I do not use a heat mat and I don't recall how soon the first true leaves emerge but I think it's in about a week or two after I have sprouts. Certainly never 30 days. My room is at 70 degrees and it gets natural light but the seedlings are under fluorescent lighting full time and don't go outside at all until they are too tall for the light tray.
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