Everything is in the title ;-)
Yes, I think it could be really great to have a PortableLinuxApps core/base extension in order to run Apps from portablelinuxapps.org. Many of them depends on a GNOME basis from what I've understood. I successfully ran VLC from portableapps.org adding some tiny core extensions, but it would be helpfull to have just ONE extension that add all the needed libraries to run ALL portableapps.
I know it's not really in the philosophy of tiny core linux, but I really think TinyCore + PortableApps would perfectly match together, and could definitely improve the linux experience for beginners.
I dislike ALL package managers, rpm, apt, synaptic, yum and so on. Even AppsAudit is a pain to use. If I had time I would compile ALL my application in -static mode. Even if I know it's stupid. I don't care about hard disk or memory space, I barely use more than 4 apps in the same time. But I just can't stand having an error message running an app or having half of the features of a program because a
packager
did not include a 4 ko library...