LFGSS Official T-Shirts

to print is no problem at all it just means you have a bigger screen as you're placing more fabric (slightly more cost). you would also need to print the sleeves before cutting the fabric. This then becomes a question to the production team, do you print first, or cut the fabric .
I imagine that the initial idea may have been to source constructed garments and then print. But if you're looking to build your own garments then your whole pricing structure changes. To sew the lugs onto the sleeves, neckline, and hem is not difficult but every construction intervention costs. Its a matter of pricepoint/volume and the relationship you have with the factory (i dont do money at work so i'm not sure exactly costing of such things, but can help negotiate).
It is nice to have print going into the seams, its cleaner. But if you printed to lugs over the seams it might feel a bit more raw, which can be good. perhaps a metalic resin type print that sits up off the fabric, crome?

Love the technical jargon in this. I don't even know what a lug is on a 'constructed garment'. Nice one. (NB not being ironic at all. I'm genuinely interested in what technical language is important for different jobs.)