Haggy,
Firstly well done on achieving such an excellent finish from your tools. As John notes there will always be a little abrading (sanding) needed, what you are really aiming for is to start fairly high up the grit size rather than the lower end.
A light scrape over the rim after the application of colour may well have removed the overspill into the grain, leaving a cleaner finish at that point.
As for using manufactured board, nothing wrong there. I've some in the garage that's been given to me, and the person who gave it to me has asked me to turn much as you have as his 'thank you' for the boards, and it will blend with his kitchen worktops excellently. Also go down the supermarkets, many of the wooden salad and fruit bowls they sell are made of manufactured blanks, and you don't see Mr Tesco's/Sainsbury's etc., apologising for them!