I may have found the problem: a dependency issue. sqlite is installed but it's an older version than the current midori package needs:
root:# slapt-get --install midori
Reading Package Lists...Done
Excluding midori, use --ignore-dep to override
The following packages have unmet dependencies:
midori: Depends: sqlite >= 220.127.116.11-i586-1vl71
The following packages have been EXCLUDED:
0 upgraded, 0 reinstalled, 0 newly installed, 0 to remove, 1 not upgraded.