Thanks for the replies.
Frankly, there are 2 issues; the cost for them to do the embroidery ( a long time back I asked them by email for an estimate: the cost was a little steep ($30/name, and involved Ikeda Sensei verifying the kanji/katakana), and second was I wanted to get an opinion from those who have it it done to their jackets.
Don't misunderstand me; I, like most who own BuJin stuff, swear by them. I have just never seen embroidery on their jackets, and that gives me pause.
Asjan (sorry, could not resist!
) good suggestion to ask them.