It's not that you wouldn't have room, so much as that, going by the standards in Tashas, your Class Feature items would pretty quickly get lost in the mix. Artificer infusions already kind of suck from the "Core class feature that feels cool and powerful to use" standpoint, giving you yet more access to something that's already very common wouldn't really feel like a worthwhile impact.
Like, it could certainly be done well. Larian redesigned several classes for the better. But "Can build magic items" would be hard to build in a way that feels cool I think.
What might actually work as a simple take is if Artificers got extra generic Magic Item Slots to equip utility items (Boots, Rings, Hats, Gloves, Capes, Amulets) into so you can be even better at being a magic item christmas tree.