No they should not be used.
This is an interesting point actually.
Do any amateur leagues actually enforce laws on bats? If so has anyone ever seen a batsman have to change their bat because the one they walked out with is illegal?
A grade A bat has just Willow in the blade, so a blade with a lamitoe or a dowel, despite being how manufacturers repair bats, is illegal for use in first class cricket. These are widely used in club cricket and nobody bats an eyelid because they aren't performance enhancers. I would be happy to bat with a dowelled bat as I know this wouldn't be giving me an unfair advantage over the opposition
Bats with TAS inserts fall into the same category as a laminate for me. I wouldn't personally use one, as they're designed to make the bat pingier than a "standard bat", but there's nothing in the league rules staying that you can't/shouldn't do so to my knowledge.
I think you could technically use an aluminium bat in club cricket, but that's a different kettle of fish again...