Manual transmission is quite good actually, it is economical and good performance too. You're coming from a manual 1.3 Corolla you'll definitely feel it's an upgrade.
And automatic if one's coming from automatic 1.3 corolla or city 1.3 auto, it is certainly better
If coming from prosmatic civic, 6 speed auto elantra
cvt civic or Corolla it's a bit worse to drive and fuel economy wise
but more durable/reliable.
Since your decision is whether spending 1 lac and getting the 1.6 manual corolla worth it over 1.3 manual gli? It definitely is worth it.