As a Single-classed Sorcerer, this is probably fine
I'd err on the side of feeling this is maybe a bit underpowered (even for Sorcerers), if only because Metamagics are pretty important to Sorcerers. Having the ability to force Disadvantage on a critical spell's saving throw, or being able to cast a spell without doing something to give away its source can have pretty significant ramifications on how an encounter plays out, and taking those features away needs to come with significant benefits. But because many of those benefits still depend on your Intelligence Modifier, there's going to be an upper limit on how powerful those benefits can be, at least unless the Sorcerer permits themselves to put points into INT.
Watch out for Multiclassed Sorcerer/Paladin builds
It is very difficult for a Paladin to gain Wizard levels. They have to maintain decent stats on their Strength, Charisma, and Intelligence scores, meaning other important stats (like, for example, Constitution) are going to suffer. So any Paladin that wants to include some Wizard features in their arsenal has to contend with those limits.
With this variant, one major hurdle has been lifted, and a Paladin would be able to gain access to, say, the War Mage's "Arcane Deflection feature" by only taking 3 Sorcerer levels, and not having to make (significant) sacrifices to their ability scores.
A Multiclassed Wizard/Sorcerer could gain access to two different Arcane Traditions
A Wizard2/Sorcerer3 (or Wizard6/Sorcerer10) will have the ability to pull from the feature set of two different Arcane Traditions, an ability not normally available in the game*, and potentially exploitable in its own right. A Bladesinging Wizard with a 3 level dip in Sorcerer to pick up the War Mage features would have a much higher AC than either of their respective Archetypes were balanced around.
One thing you'll need to evaluate if you permit this variant is what kinds of combos now exist from combining the features of two different Arcane Traditions, and whether you want to permit such a multiclassed character to exist.
Whatever you permit, the INT modifier will limit the power of this variant
So long as the features of these Arcane Traditions still depend on your INT modifier (which for many of them is the case) there will still be some degree of Multiple-Ability-Dependency for any Sorcerer that takes this option, and since INT is generally not that useful otherwise, this will mean that the character will need to devote more points away from stats like Dexterity or Constitution, which are often desirable for spellcasters to boost AC/HP/Concentration checks.
* (except to Theurgy Wizards/Clerics, which generally aren't regarded as being balanced for their own reasons)