God I hope not. GSuite is a resource hog, well almost any webapp is. Also, it makes it more insecure. It is always better to have native apps that work off-line than a webapp
Office can work in an airgapped environment, anything using Google Workspace can be compromised over the Internet. (I presume the Army is a big enough deal they could get a private network link to Google, but that still isn't an airgap.)