Indians would be wise not to believe 100% of garbage spewed out by the terrorists. For these vermin, human life has no value, what do they care about abstract concept such as truth.
More likely culprit in in Pune bombing is Afghanistan based Al Qaida Arabs. They are the ones who hold grudge against Pakistan and more importantly Pak army.
For these Jihadis, the best way to punish Pak is to get it threatened by an Indian attack. So the Pak army won’t be able to keep Pak army in the FATA area.
Qaida in Afghanistan has it good. These Jihadi Arabs are not safe in Yemen or Somalia because those Arabic speaking areas know these pigs. However non-Arab speaking Afghan/Pak sunnis are an easy prey for these Bidduins.
And right now Qaida is being squeezed between a hammer (Pak army) and anvil (NATO + US troops). They would love to reduce the pressure.
So this LeT-I is in fact Al-Qaida in Shalwar Qameez.