Is one-time pad encryption vulnerable when near identical data is sent many times with different OTP?
No. As long as each pad is completely random and independent, you can encrypt literally anything of the appropriate size (no larger than the pad) and retain information theoretic secure confidentiality. This attack is termed a known-plaintext attack, or KPA. The OTP encryption scheme is only vulnerable to this if you re-use padding material, which breaks the scheme. A proper OTP is not vulnerable to KPA.