Perhaps "enable" would be a better word than "allow". It changes focus from the system to the user which is consistent with the ideals of Free Software. I remember the last position I had where I begged and bullied our PCs to update with that other OS. Changing to Debian GNU/Linux and using APT enabled us to increase the number of PCs in the system several times while decreasing the effort. I felt my life was changed from labouring in waist-deep water to leaping over tall buildings with ease.
I don't think it is possible to over-sell APT. It's one of the many reasons one might choose GNU/Linux and in particular Debian GNU/Linux. APT facilitates three of the four freedoms of Free Software, making it easier to run, modify and distribute the software and APT facilitates examining the code at the level of locating packages. APT leverages the efforts of FLOSS developers and Debian package maintainers to help everyone who uses Debian GNU/Linux have safe, reliable and efficient IT. There are plenty of force-multipliers in Debian GNU/Linux: the Linux kernel, openSSH, LTSP, sh, etc. but APT plus those makes the case for "universal operating system". If there ever will be a "Lifetime Achievement Award" for a distro, Debian should get it and APT could be the decisive achievement.