That’s literally what I have been saying! You don’t have to be a Wizard as such to have a few Arcane spells! If 1 in 1000 are PC class level full casters, much more than that are spellcasters!
A few cantrips does not make you a spellcaster. You need caster levels.
From the Epic Heroism playstyle.
"Spellcasters using this system can afford to burn through spell slots quickly, especially at higher levels. Consider allowing spellcasters to restore expended spell slots equal to only half their maximum spell slots (rounded down) at the end of a long rest, and to limit spell slots restored to 5th level or lower. Only a full 8-hour rest will allow a spellcaster to restore all spell slots and to regain spell slots of 6th level or higher."
From Varian: Spell Points - DMG page 288
"The number of spell points you have to spend is
based on your level as a spellcaster, as shown in the Spell Points by Level table. Your level also determines the maximum-level spell slot you can create. Even though you might have enough points to create a slot above this maximum, you can't do so."
From Levels 5-10: Heroes of the Realm - DMG -page 37
"Dedicated spellcasters learn 3rd-level spells at the start of this tier. Suddenly characters can fly, damage large numbers of foes with fireball and lightning bolt spells, and even breathe underwater."
Further mentions of spellcasters and levels in the Masters of the Realm and Masters of the World sections.
Challenge Rating - DMG page 82
"For example, a rakshasa has a challenge rating of 13 and is immune to spells of 6th level and lower. Spellcasters of 12th level or lower have no spells higher than 6th level, meaning that they won't be able to affect the rakshasa with their magic, putting the adventurers at a serious disadvantage."
Almost every instance I found in the PHB and DMG are refer to spellcasters and levels of casting ability in some form.
Even if you do count cantrips, that leaves only PCs as the default people that can take the magic initiate feat and get cantrips. Some rare NPCs at the DMs discretion if he engages that DMG option. The general populace has no access to feats.
Even if we accept the truly bizarre definition of spellcaster that you seem to be using, no. A level 1 Wizard is nowhere near the height of anything. They’re at the end of apprenticeship/beginning of journeyman level, at best. Bachelor degree holders, perhaps.
1st level is a fresh PhD. You haven't been published much or at all. No discoveries, great or small. No Nobel prizes.