The security effect caused by an MDS matrix in word-oriented designs
The current research aims to lighter MDS for implementation in constrained resource environment. The lighter MDS require less number of xors in the binary form (AES MDS). In term of security effect, this paper took the advantage of zero XOR-sum of more than two coefficients of each row of the MixColumns matrix to mound an  (theoritical) attack on AES up to 4.5-5 rounds. 

to conclude this ,  zero XOR-sum of more than two coefficients of each row of the MDS matrix could be degradation to the security of the cipher , it is good to find MDS with no zero XOR-sum but this could a tradeoff for finding lighter MDS.