Hello,
Obviously I can't judge when the photograph was taken but I do know from research I carried out for my own family that the archives in Southampton have (or had) the merchant seamen registration cards.
The card series is limited in terms of the time it covers.
I don't recall any of the cards that I've seen copies of having names written across the front but I'll check when I have access to them again this evening.
Your biggest issue may be in identifying your A. Smith from many others. Here's hoping that there aren't too many and they can use your photo to track him down. If they can (and it is a very big if) then if you also had the registration cards for family members you could cross check the ships mentioned to see if there is a connection that way.
S_L