The intent was to not have a standing army, and instead have the states encourage personal firearm ownership and group training so that the feds could call upon them when necessary.
Not sure how you reached your conclusion. GI stands for general issue; that includes Arms.
To provide for organizing,
arming, and disciplining, the Militia, and for governing such Part of them as may be employed in the Service of the United States, reserving to the States respectively, the Appointment of the Officers, and the Authority of training the Militia according to the discipline prescribed by Congress;
GI has usually meant "Government Issue" as in the GI Bill for veteran's education.
But what does "To provide for organizing,
arming, and disciplining, the Militia", have to do with anything?
When the government provides for widows and orphans, that does not mean the government is the only source of support for widows and orphans or that the government then somehow is supposed to own the widows and orphans.
It just means the government is ALLOWED to do provide support if it decides it wants to.
And of course in time of emergencies like invasion, then the government would want to provided for turning the disorganized militia into an organized defense force.
The point of this article is that for the federal government to be able to allocate any funding for anything, it has to be specifically authorized to be able to make that expenditure of our money. So to pay for an army for defense from invasion, then this article was needed in order to allow that.
It says nothing about where the troops should come from or how they would gain arms expertise.
Nor does it say what the main purpose of those men at arms would be when not needed for any national emergency.
For clearly the MAIN use of men at arms in any country is much greater on the state, local, and individual level. Even more so back then when there were no police and there were many more local threats, and very few national threats.
To put this into perspective, the Confederate arsenals provided by the states, held a total of 160,000 small arms, while the Confederate arsenals had to support an army that would grow from 750,000 to 1,000,000 men. So then clearly the vast majority of the Confederate forces were using personal arms. And the Union started with a similar ratio, until they ramped up production. No one would ever try to pay for and store even a fraction of the arms one would need for some unexpected emergency like invasion. Arms stored in armories would be a terrible idea in that the people would not be familiar with them in time, and they would soon become obsolete as weapons rapidly keep changing and improving. Some arms are always put into armories, but it is considered a small and temporary buffer and not the main means of arms.