Pretty much
To expand further, Mages have the largest preexisting base, including spells of all kinds, but almost all on-person based. However, large scale static ritual and such generally are not known, and Mages generally can't make any new spells.
Ritualists are charm and ritual based. They can't really cast spells on the fly, and have to use preexisting combinations of catalysts to enchant items for later use. On the other hand, with sufficient setup, they can do some crazy things, and their enchantments are nothing to scoff at.
Sanguine Magi are similar to Ritualists in the way that they can do large rituals, but their magic is based around self augmentation and manipulating life, or more precisely, blood essence. They can make rituals to enchant themselves with energy, cast curses, drain life, etc, but it comes at a hefty cost of self harm and a psychopathic mindset generally .
Finally, Thaumaturges are magi that have found Tomes of Knowledge, generally called Tomes, that provide them with information. They actually start mostly blank, but fill with knowledge if a Thaumaturge find a
Node, something essential to their work and magic. Nodes write knowledge into a Tome, and have aspects. Some are dark and sinister, others somewhat like black holes, and some pure. No matter what, the Node determines the magic the Thaumaturge finds fragments of within the pages of their Tome, and by extent, what magic they can use. Also, Thaumaturges cannot cast from their own Mana pools. Nodes are at the base, rips in reality providing a path to Akasha. Thaumaturges learn to tap nodes for primal forms of Mana, which they have to store within wands and other such tools for later use. This mana can be shaped via Foci, or cast as unrestrained power. Of course, foci are far more efficient and percise.
I'll provide a general example:
