I own a few Pultec EQ plugins and use them on most of my mixes. Some of the plugins do sound a little different, however, I like that because my mixes don't get a big buildup of the same coloration.
If you were to analyze a analog mixer, you'd find that most of the channels will sound different from each other. For me, that part of the secret sauce, so to speak. I also mix my plugins up a bit to avoid buildup of frequency and coloration.
The Pultec EQ plugins aren't for everybody. They seem to be a little harder to understand for a lot of people. Therefore, watching online videos and reading documentation is a must.
Thanks for the link on the Pultec documentation. I also own that version of it, therefore, that article could be very helpful, as well.