I believe the BLW theory is that if they have the skills to get food into their mouths they have the oral skills to deal with it. My two both started having finger foods between 5 and 6 months because they were able to pick things up and get them in their mouths. However I did stick to plain foods like broccoli, steamed carrots etc because of the guidelines in the UK that say no gluten before 6 months. Once they hit 6 months they had toast, sandwich fingers and pasta.
Have you read the BLW book to see what it says? I gave my copy away so can't check!
Laura