It would help if you let us know what it is you are looking for more specifically. The "helmet" is the seed casing. Normally as a plant sprouts from the seed, it sheds the seed casing; however, this doesn't always happen. In general, in soil, the plant pushes up through the soil, and this pushing against something helps the casing to come off. Therefore, if you plant too shallowly, or germinate in damp coffee filters (or whatever), you are likely to get an increase in seed casings remaining on the plant. I have done both - direct-sown in soil and germinated in damp coffee filters. When I direct-sow, I put the seed at least half an inch down, probably an inch in some cases. This goes against what I've seen many post - that you shouldn't go deeper than 1/8" down - but I've never had an issue with helmet head when direct sowing this deeply, and the plants just seem to figure out how to make it through to the surface. In coffee filters, however, it's happened to several.
As you've noted, when the seed casing remains on the plant, the plant will either eventually shed it (within a couple days is fine), keep it and be stunted, or keep it and die. You may be able to manually remove them yourself, but you have to be uber-gentle. My approach is to spray the casing with water to soften it, then pinch the seam of the casing to make the opening wider, then GENTLY pull. If the casing won't slide right off easily, stop and try again the next day - if you pull the cotyledons off, the plant will die.