Most consecutive bilateral ODI series wins against a team
12 Ind vs WI (2007-2022)*
11 Pak vs Zim (1996-2021)
10 Pak vs WI (1999-2022)
9 SA vs Zim (1995-2018)
9 Ind vs SL (2007-2021)
Lowest highest individual scores in successful 300+ chases in ODIs
64*Axar Patel 312/8 vs WI Port of Spain 2022
65 Shoaib Malik 319/7 vs Ind Ahmedabad 2005
68 Gautam Gambhir 310/4 vs SL Karachi 2008
Highest targets successfully chased in ODIs in West Indies
361 Eng vs WI Bridgetown 2019
313 SL vs WI Bridgetown 2003
311 Ind vs WI Port of Spain 2022*
309 WI vs Pak Providence 2017
Most runs scored in overs 41-50 in successful run chases since 2002
111 Pak vs Ban Mirpur 2014
105 NZ vs Ire Malahide 2022
102 NZ vs Aus Christchurch 2005
100 Ind vs WI Port of Spain 2022*
Previous most by India: 91 vs Zim Auckland 2015
Yes people do watch in that time when India tours NZ/AUS. In this case BCCI can't demand anything.
Even other Asian cricket teams like Sri Lanka , Pakistan and Bangladesh has no objection on any timings. Only BCCI does it.