Never had trouble with my log books in Canada, been flying mostly in Africa. Log books verified by company and that satisfied TC. Whenever I want to bring my Canadian licence up to speed I do a Medical and an IR. No need for written exam if you can prove you have done an IR test in the last year by showing your check ride results and stamp in your foreign licence.
When I did my ATP they only kept my log book for a day, they just look to see if there are any obvious discrepancies. I think if you just have the hours they look a bit harder if your over the hours required they are usually pretty quick about it.