I have had next to no positive experience with volunteer tomato plants in the garden. One or two are often allowed to grow through the season but maturing more than 1 or 2 ripe cherry tomatoes is too much to hope for. The volunteers are nearly always cherries but require just a few more weeks of good growing weather to amount to anything. They don't get it.
The exception the last 2 seasons has been Coyote volunteers. The little plants grow, bloom, etc., so quickly that they have really done fairly well at having a good number of ripe, tiny yellow fruit. Of course, the volunteers turn up in inappropriate locations. But, even moving them has proven okay with Coyote.
This year, the tractor guy may have done too efficient of a job and eliminated any and all seeds from the soil. It's still very early but I haven't seen a single tomato volunteer, Coyote or otherwise. Not to worry -- I have shown Coyote seed in a good location for 1 or 2 plants!
This is an absolute first for me ... I have never direct-sown tomato seeds in the open garden. In recent years, nearly all my tomato transplants have been well over 2 months old. I can assure you that I do not believe that I get 2 months head start with them. Each were transplanted twice in their young lives, and I imagine that they gain about half of the time spent in containers, on their way to the open garden. Transplant shock takes out the other weeks for them.
Half but, nevertheless,
necessary weeks are needed to get a jump on their days-to-maturity. Coyote doesn't need many of those days. I can imagine that something like Gold Nugget may not either ... but, I have saved seed for Coyote and not blazing quick Gold Nugget. The fruit won't be quite as early as it could be with greenhouse starts but I just bet sowing Coyote seeds will turn out in a satisfactory way

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Steve