It should , but they would want it donated and would then charge anyone who wanted to view it £50
That is a bit unfair.
In 2017 I visited the NMM archive at Woolwich with a friend who was researching a particular warship. The visit cost us nothing and we spent around 2 hours making notes and taking photos of the plans and ohotos. The curator was very helpful.
I am currently arranging a further visit in respect of a future project of my own and again I don't expect any charge to be made.
The problem is that to get full coverage you will probably need lines plan, profile, deck plans and maybe a rigging plan. These are often drawn to 1:48 scale on separate sheets which for a medium size ship can be around 3m long.
We spent some time talking to the curator who explained that digitising and reproducing plans of this size which are frequently in a fragile condition is expensive and the NMM is not seeking to make a profit but must cover its costs. He suggests that it is always best to visit if at all possible before ordering although many people are not in a position to do that obviously.
When a plan is digitised it can be provided as a high definition jpeg file which means you should be able to take it to a local copy shop and get it printed out at the size you need rather than buying the 3m version from the NMM.
In the case of the ship I am currently researching I already have 1:1200 waterline plans from Model Boats plus a couple of dozen detailed photos of the builder's model of the ship which used to be on display in the Science Museum.
So, I think that I may be able to simply photograph the body plan to confirm the lines and probably the rigging plan as well. This means that I may only need to order the profile and deck plans with a bit of luck and I may not even need those if I take a lot of photos. If so then the two plans will cost £150 which is a fair bit of dosh but probalby acceptable tor a two year scale model project. OK, there is the cost of getting up there but, hey, it's an interesting day out and last time we got to ride the Thames cablecar!
Taking inflation into account that is a fair bit less than I paid for two smallish sheets for my Isle of Wight ferry Shanklin back in 1981.
Colin