Could I suggest an option?
I have a similar annoyance, especially when 'fine-tuning' my comparisons (TDP version 4.3, comparing ~400 tables, Oracle to Postgres). If there were a check box to 'Reuse Schema Cache' (the statistics that are repeatedly pulled from the data dictionaries) on the second and subsequent accesses, the customer could control when the schema statistics are reused. This checkbox would be greyed-out during the initial schema stats query.
Regards,
David