Do Mages have subcategories? Should they?

There's been a bit of talk regarding fighters, and how since it's such a broad category, there are different types of fighters. Juggernauts, Bruisers, and Light Fighters.

But what about mages?

Some are single target, while others are aoe. We have mobile and immobile types. Burst and sustained. Utility, and not so much utility.

Turns out there's already a list for them:

• Burst mages focus the most heavily on laying down direct damage, often sacrificing reach or utility in their ability sets. The most kill-focused of all mages, burst mages often use whatever crowd control they have to set up kills for themselves, and less frequently in the service of their team.

• DPS or DoT mages are also damage-focused, but their damage tends to be more spread out over time via abilities that apply lesser amounts of damage multiple times over. In general, DPS mages are more short-ranged than other mages, but also possess effects inaccessible to most other mages, such as self-healing, and can shift from target to target far more easily.

• Poke mages possess greater range than other mages, though this often comes at a cost in increased squishiness. Typically, a poke mage will hang back as far as their spell ranges allow them, entering lower ranges only when absolutely necessary, and excel at wearing down opponents on the enemy team before combat, though they also tend to have inferior direct combat capabilities.

• Utility mages possess high amounts of crowd control and less conventional means of laying down power, such as the ability to shield themselves or allies or create terrain. Utility mages tend to be the least kill-focused mages, often lacking in damage relative to their other counterparts, and most often focus on controlling the battlefield instead of aggressively pursuing kills.

http://leagueoflegends.wikia.com/wiki/Champion/Champion_Classes

Should something be done to make them more distinctive?