ha_innobase::info_low(): While collecting statistics for
ANALYZE TABLE, ensure that dict_stats_process_entry_from_recalc_pool()
is not executing on the same table.

We observed result differences for the test innodb.innodb_stats because
dict_stats_empty_index() was being invoked by the background statistics
calculation while ha_innobase::analyze() was executing
dict_stats_analyze_index_level().