In that case, no. Go offensive. You need far, far more healing power to make investing heavily in HP weapons somewhat worth it. And even then, again, it's dubious.RNG is going to RNG. I got 19 copies of Darkness Disaster Eidolons before I got my fourth copy of the Assault weapon.
Also, inventory space shouldn't be such a huge issue. You should buy space to 100, maybe even 200 straight off the bat. It's by far the best thing you can do with Jewels (once past rerolling stage).