It is important to consider interactions between states during MECI searches. State interactions are important to describe the avoided crossing of, for example, LiF with MRPTs; the lack of them leads to a notorious double-crossing PES. Regarding CASPT2, the multistate CASPT2 (MS-CASPT2) can treat state interactions and has been used in geometry optimization (primarily via numerical differentiation). However, MS-CASPT2 has a severe non-invariance problem and is unsuitable for MECI searches. Certain studies reported that PESs around MECIs at the MS-CASPT2 level have unphysical behaviors. One of the sources of non-invariance can be solved using the modification technique by based on the idea of the XMCQDPT2 by Granovsky, and the resulting extended MS-CASPT2 (XMS-CASPT2) has been used in locating MECIs and non-adiabatic MD simulations in several occasions. Although XMS-CASPT2 smoothens the rough PES of MS-CASPT2 at CIs, the use of the state-averaged Fock operator may in general degrade the accuracy of MS-CASPT2 with a state-specific operator elsewhere. Recently, an alternative approach named extended dynamically weighted CASPT2 (XDW-CASPT2) has been suggested as a bridge between MS-CASPT2 and XMS-CASPT2. XDW-CASPT2 employs a dynamically weighted density matrix in the Fock operator, in association with reference states that are rotated to remove the interaction between them, following the same approach used in XMS-CASPT2. As a result, one can select a completely state-specific operator that interpolates between statespecific and state-average regimes. The idea of XDW-CASPT2 is similar to the preceding dynamically weighted DSRG-MRPT2 and SCF methods. A special case of this variant, which shares a similar idea to that in Ref. 45, is referred to as rotated multistate CASPT2 (RMS-CASPT2) and only performs an initial rotation of the states, thereby avoiding the dynamical weighting scheme. The applicability of XDW-CASPT2 and RMS-CASPT2 has been discussed in two recent studies, demonstrating that PESs near MECIs are smooth.