Referring to my previous reply to your earlier question, I mentioned Mammillaria supertexta. These both look closer to that description, the first one has, I think, 2 very short central spines. The presence of central spines is variable in M. supertexta, but that name is probably the closest I can get.
As you don't have any field numbers associated with them, they could also be the result of cross breeding between similar species. I haven't seen any forms of M. albilanata without central spines, so I'm ignoring that name in these cases.
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Chris43, moderator