Creating a new (copied) template shoulds till cost experience points. It's not like the German Army in early 1942 lacked battlefield experience in anycase.
To me, the concept of spending experience points to change a template is about improving it through combat lessons learned. The German decision to reduce the size of their infantry divisions (also effectively done by the Russians) was about manpower constraints, not about fielding a more potent division. That's why I don't think that removing components from a division template should cost experience.
Similarly I don't want to spend points just to copy an existing template. If you think about upgrading divisions, a new production line may only allow a slow upgrade. It makes sense to create a new template (no cost because it is identical), add a battalion to that template (which does cost) and then reassign a division to that new template, with additional divisions added as production ramps up. Otherwise if you just change the original template you'll have a trickle of the new equipment going to all divisions and it could take years until any of them are fully equipped - unless you manually go and prioritise certain divisions, but then once they're all done you may need to go and find them and turn the prioritisation off.
Lets think about British infantry divisions. They started off comparatively small and lacking in supporting arms, but by 1944 the divisions in combat had added thousands of men and tons of equipment.
In 1936 we have infantry divisions with 9 infantry battalions, 4 artillery battalions (48 guns) and an engineer battalion
By 1939 the top of the line divisions had added 2 artillery battalions, 2 AT battalions (75 guns) and a recon battalion, but some divisions were effectively still on the 1936 template and others were in between.
By 1944 they've added a strong AA component, a MG battalion and even more AT guns, but there are still some divisions in Britain that are on a reduced establishment that is similar to the 1936 template (4 art bns, 1 AT bn and weak engineer and recon elements).
Variants on the standard templates were legion in certain armies in WW2, which is why I don't want to have to pay to copy or downgrade existing templates. It allows historical detail for players who want it without impacting other players who think its too much micro management.