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in "config" table, the 'modid key' seems to be linked to 'mid key' in "modules" table.
for example, on your website, liaise has the mid #104
in "config" table, the "mail_charset" is linked to this mid.
I have no idea about the mysterious change of this value (0->1) in your database.
I can't tell you more infos about that, because my "xoops level" is not high
(my English grammar too
I don't think that playing with themes can create these problems.
If you really want to change your theme (I like blogstyle), I think you'll do better to create a new one, based on 'morphogenesis' skeleton. (see Kris_fr works/adaptations about this).
I cannot decently accept any contribution.
I never did that before, but Thank You for your offer.