Name Issue on H1 visa

My full name on my passport is as follows:
First name: XXXX
Last name: YYYY ZZZZ AAAA

My name is very long and it's hard to put all the letters on my visa. My current H1 visa stamp and I94 have the following issue. The consulate missed out on YYYY on my last name.
First name: XXXX
Last name: ZZZZ AAAA

The consular officer sent an email saying that their internal documents are fine but only my visa does not have YYYY. But fortunately my I797A has my entire name printed properly.

Are there going to be problems when I re enter the country? I have already entered once without any issue but I am worried if there are going to be issues while re entering again.
Do you think I can get my I94 updated ? Any suggestions or experience is appreciated.

Thank you!
 
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