But the Mini V as a type is fine on CX purposed bikes , Perhaps the OP didn't like the Lower cost
OEM spec Tektro ones included . they were, I presume, selected to keep the whole bike price Down.
And were probably fine ,
[Guess> the guy just wanted something else, then they found their choice. incompatible ]

different Mini-V perhaps?
there is Paul's Mini Moto. they S bend the Arm's shape in design.. (mud clearance)
and use 2 Coil springs and the grease on the pivots are behind O rings, US made.

And the premium , Race division, TRP line . out of the same TW corporate manufacturer.

The inverse , Changing the brake levers , to V type loses the integrated shifter..
doubt that is acceptable..




Setting up the new V brake bikes we screw the adjuster all the way in , here,

they would be MTB levers predominantly, they have the adjuster in the lever
rather than say on the V noodle like drop bars may use.

for the anticipated bedding in of new cables, housing, and pads ..