Statement I is Correct: India's Long-Term Low Emission Development Strategy (LT-LEDS) is indeed a crucial tool for achieving net-zero emissions by 2070. It outlines the strategic framework necessary for sectoral transitions in energy, transport, industry, and forestry to meet this long-term goal.

Statement II is Incorrect: While India's 4th Biennial Update Report (BUR-4) does record an approximately 8% decrease in greenhouse gas emissions in 2020 compared to 2019, this decrease is attributed to the economic slowdown and lockdowns during the COVID-19 pandemic, not to structural or strategic efforts towards long-term emission reductions. Therefore, it does not empirically support the strategic framework of LT-LEDS.

Statement III is Correct: The IPCC emphasizes that climate-resilient development depends on rapid, deep, and immediate emission reductions in the short term. This approach can be seen as contradicting the long-term focus of strategies like LT-LEDS if they do not also incorporate aggressive short-term actions.

Therefore, the correct relationship is that Statement III contradicts the approach implicit in Statement I, making option B correct.