[NorthMountain]

Is it fair to say the biggest objection to the Tridentine Mass is its use of Latin?

No, it is not.

If not, what is?

The "Tridentine" Mass much more perfectly exemplifies the Catholic teaching on the Real Presence of Christ in the Holy Eucharist, and on the truly sacrificial nature of the Mass (or Divine Liturgy, if you prefer that term) than the rite introduced by Pope Paul VI. Certain parties within the Church do not actually believe the Catholic Teaching on the Real Presence or the true sacrifice, and accordingly wish to eliminate the Mass which more perfectly exemplifies them.

[Campion]

You may be correct at a deeper level.

On the surface, though, it appears to be more like an excessive devotion to VCII, to the exclusion of and in opposition to everything else in Catholic history. Add to that the (actually highly debatable) claim that the NO is the Mass which implements the "vision" of VCII, and you get to where we are.